3-methylcrotonic acid decarboxylase (MDC) variants

ABSTRACT

Described are 3-methylcrotonic acid decarboxylase (MDC) variants showing an improved activity in converting 3-methylcrotonic acid into isobutene as well as methods for the production of isobutene using such enzyme variants.

This application claims priority and is a Continuation-in-Part of U.S. Ser. No. 16/153,681 filed on Oct. 5, 2018, which is a Continuation-in-Part of U.S. Ser. No. 16/026,332 filed on Jul. 3, 2018, now abandoned, which is a Continuation-in-Part of PCT/EP2017/060621 filed on May 4, 2017, which claims priority to EP 16168448.5 filed on May 4, 2016 and EP 16199502.2 filed on Nov. 18, 2016; this application also claims priority and is a Continuation-in-Part of U.S. Ser. No. 16/153,681 filed on Oct. 5, 2018, which is a Continuation-in-Part of U.S. Ser. No. 16/026,333 filed on Jul. 3, 2018, which is a Continuation of PCT/EP2017/060621 filed on May 4, 2017, which claims priority to EP 16168448.5 filed on May 4, 2016 and EP 16199502.2 filed on Nov. 18, 2016; this application also claims priority to EP 18181522.6 filed Jul. 3, 2018. All of these documents are hereby incorporated by reference in their entirety.

Described are 3-methylcrotonic acid decarboxylase (MDC) variants showing an improved activity in converting 3-methylcrotonic acid into isobutene as well as methods for the production of isobutene using such enzyme variants.

A large number of chemical compounds are currently derived from petrochemicals. Alkenes (such as ethylene, propylene, the different butenes, or else the pentenes, for example) are used in the plastics industry, for example for producing polypropylene or polyethylene, and in other areas of the chemical industry and that of fuels.

Butylene exists in four forms, one of which, isobutene (also referred to as isobutylene), enters into the composition of methyl-tert-butyl-ether (MTBE), an anti-knock additive for automobile fuel. Isobutene can also be used to produce isooctene, which in turn can be reduced to isooctane (2,2,4-trimethylpentane); the very high octane rating of isooctane makes it the best fuel for so-called “gasoline” engines. Alkenes such as isobutene are currently produced by catalytic cracking of petroleum products (or by a derivative of the Fischer-Tropsch process in the case of hexene, from coal or gas). The production costs are therefore tightly linked to the price of oil. Moreover, catalytic cracking is sometimes associated with considerable technical difficulties which increase process complexity and production costs.

The production by a biological pathway of alkenes such as isobutene is called for in the context of a sustainable industrial operation in harmony with geochemical cycles. The first generation of biofuels consisted in the fermentative production of ethanol, as fermentation and distillation processes already existed in the food processing industry. The production of second generation biofuels is in an exploratory phase, encompassing in particular the production of long chain alcohols (butanol and pentanol), terpenes, linear alkanes and fatty acids. Two recent reviews provide a general overview of research in this field: Ladygina et al. (Process Biochemistry 41 (2006), 1001) and Wackett (Current Opinions in Chemical Biology 21 (2008), 187).

Different routes for the enzymatic generation of isobutene have previously been described; see, e.g., Fujii et al. (Appl. Environ. Microbiol. 54 (1988), 583); Gogerty et al. (Appl. Environm. Microbiol. 76 (2010), 8004-8010) and van Leeuwen et al. (Appl. Microbiol. Biotechnol. 93 (2012), 1377-1387) and WO2010/001078.

In addition to these routes, there are also alternative routes for the provision of isobutene utilizing the enzymatic conversion of 3-methylcrotonic acid into isobutene by a decarboxylation reaction. A decarboxylation is a chemical reaction that removes a carboxyl group and releases (CO₂).

The decarboxylation of 3-methylcrotonic acid has already been suggested in US-A1-2009/0092975 while there is no experimental evidence for this conversion. In US-A1-2009/0092975, a nucleic acid sequence called PAD1 derived from Saccharomyces cerevisiae is described and is disclosed to encode a decarboxylation enzyme. This enzyme is suggested to be useful as a selectable marker in a recombinant organism while it is described that a “weak acid” may be used as the selecting agent. 3-methylcrotonic acid is mentioned, among many others, as a potential “weak acid”.

However, it was only later found that the above PAD1, in reality, does not provide for the decarboxylase activity.

In fact, the bacterial ubiD and ubiX or the homologous eukaryotic fdc1 and pad1 genes have been implicated in the non-oxidative reversible decarboxylation. The combined action of phenylacrylic acid decarboxylase (PAD) and ferulic acid decarboxylase (FDC) is considered to be essential for the decarboxylation of phenylacrylic acid in Saccharomyces cerevisiae (J. Biosci. Bioeng. 109, (2010), 564-569; AMB Express, 5:12 (2015) 1-5; ACS Chem. Biol. 10 (2015), 1137-1144).

Recently, the above enzyme family described as phenylacrylic acid decarboxylase (PAD) was characterized as an FMN prenyl-transferase and no longer as a decarboxylase. It has been shown that Fdc1 (but not PAD) is solely responsible for the reversible decarboxylase activity and that it requires a new type of cofactor, namely a prenylated flavin synthesized by the associated UbiX (or Pad1) protein. Thus, the real enzymatic activity of this PAD enzyme has been identified as the transformation of a flavin mononucleotide (FMN) cofactor with a prenyl moiety (from di-methyl-allyl-phosphate or pyrophosphate called DMAP or DMAPP). This reaction is shown in FIG. 1A.

Accordingly, in contrast to the prior art's belief, the real decarboxylase is the Ferulic Acid Decarboxylase (FDC) in association with the modified FMN (prenylated-FMN). This reaction is shown in FIG. 1B. This mechanism of the Ferulic Acid Decarboxylase (FDC) in association with the modified FMN (prenylated-FMN) (the latter provided by the PAD enzyme) was recently described and involves a surprising enzymatic mechanism, i.e., an α,β-unsaturated acid decarboxylation via a 1,3-dipolar cyclo-addition. Moreover, the structure of this FDC decarboxylase has recently been elucidated (Nature 522 (2015), 497-501; Nature, 522 (2015), 502-505; Appl. Environ. Microbiol. 81 (2015), 4216-4223).

Although the above means and methods allow to produce isobutene from 2-methylcrotonic acid, there is still a need for improvements, in particular as regards a further increase in efficiency of the process so as to make it more suitable for industrial purposes.

The present application addresses this need by providing in a first part the embodiments as defined in the following items (1) to (12):

-   1. A variant of a 3-methylcrotonic acid decarboxylase (MDC) showing     an improved activity in converting 3-methylcrotonic acid into     isobutene over the corresponding MDC from which it is derived and     having an amino acid sequence as shown in SEQ ID NO:1 or an amino     acid sequence having at least 73% sequence identity to SEQ ID NO: 1,     in which one or more amino acid residues at a position selected from     the group consisting of positions 405, 2, 12, 13, 29, 31, 33, 35,     89, 114, 195, 197, 221, 293, 337, 351, 376, 381, 388, 420, 422, 435,     436, 439, 441, 447, 449, 500, 506 and 511 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to any of these     positions, are substituted with another amino acid residue or     deleted or wherein an insertion has been effected at one or more of     these positions. -   2. The MDC variant of item 1, wherein     -   (1) an amino acid residue at position 2 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine, aspartic         acid, phenylalanine, lysine, leucine, asparagine, glutamine or         valine; and/or     -   (2) an amino acid residue at position 12 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine, alanine or         asparagine; and/or     -   (3) an amino acid residue at position 13 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with histidine,         isoleucine, asparagine, serine, valine or tyrosine; and/or     -   (4) an amino acid residue at position 29 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine,         histidine or serine; and/or     -   (5) an amino acid residue at position 31 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamic acid or         glycine; and/or     -   (6) an amino acid residue at position 33 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine; and/or     -   (7) an amino acid residue at position 35 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with methionine, serine         or threonine; and/or     -   (8) an amino acid residue at position 89 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine or         phenylalanine; and/or     -   (9) an amino acid residue at position 114 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine; and/or     -   (10) an amino acid residue at position 195 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with methionine,         cysteine, phenylalanine, isoleucine, valine, tryptophan or         tyrosine; and/or     -   (11) an amino acid residue at position 197 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine or         methionine; and/or     -   (12) an amino acid residue at position 221 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (13) an amino acid residue at position 293 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (14) an amino acid residue at position 337 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with methionine or         leucine; and/or     -   (15) an amino acid residue at position 351 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine,         asparagine, alanine, valine or glycine; and/or     -   (16) an amino acid residue at position 376 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine; and/or     -   (17) an amino acid residue at position 381 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine; and/or     -   (18) an amino acid residue at position 388 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamic acid;         and/or     -   (19) an amino acid residue at position 405 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine,         leucine, methionine, proline or glutamine; and/or     -   (20) an amino acid residue at position 420 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (21) an amino acid residue at position 422 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with methionine; and/or     -   (22) an amino acid residue at position 435 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with methionine; and/or     -   (23) an amino acid residue at position 436 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (24) an amino acid residue at position 439 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (25) an amino acid residue at position 441 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with tyrosine; and/or     -   (26) an amino acid residue at position 447 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with tryptophan,         methionine or tyrosine; and/or     -   (27) an amino acid residue at position 449 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine,         methionine or valine; and/or     -   (28) an amino acid residue at position 500 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine; and/or     -   (29) an amino acid residue at position 506 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine or         tyrosine; and/or     -   (30) an amino acid residue at position 511 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with methionine or         isoleucine. -   3. The MDC variant of item 1 or 2, wherein said variant furthermore     shows at least one modification at positions 3, 4, 5, 6, 7, 8, 9,     10, 11, 14, 15, 25, 30, 34, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72,     80, 84, 85, 86, 87, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111,     117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175,     176, 187, 189, 193, 206, 211, 213, 214, 215, 216, 222, 228, 232,     244, 247, 264, 278, 284, 285, 303, 305, 306, 326, 338, 341, 342,     345, 349, 352, 375, 377, 384, 386, 392, 395, 399, 402, 404, 406,     414, 429, 440, 442, 443, 445, 448, 454, 460, 461, 462, 484, 488,     493, 494, 496, 501, 502, 509 and 512 in the amino acid sequence     shown in SEQ ID NO:1. -   4. The MDC variant of any one of items 1 to 3, wherein said variant     furthermore shows at least one modification at positions 3, 4, 5, 6,     7, 8, 9, 10, 11, 14, 15, 25, 30, 34, 40, 43, 57, 60, 65, 67, 69, 70,     71, 72, 80, 84, 85, 86, 87, 90, 91, 99, 101, 102, 103, 105, 106,     108, 111, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160,     162, 175, 176, 187, 189, 193, 206, 211, 213, 214, 215, 216, 222,     228, 232, 244, 247, 264, 278, 284, 285, 303, 305, 306, 326, 338,     341, 342, 345, 349, 352, 375, 377, 384, 386, 392, 395, 399, 402,     404, 406, 414, 429, 440, 442, 443, 445, 448, 454, 460, 461, 462,     484, 488, 493, 494, 496, 501, 502, 509 and 512 in the amino acid     sequence shown in SEQ ID NO:1 is an MDC variant, wherein     -   (1) an amino acid residue at position 3 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine, glutamic         acid, glycine, lysine, proline, tryptophan, cysteine, aspartic         acid or tyrosine; and/or     -   (2) an amino acid residue at position 4 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamic acid,         leucine, methionine, alanine, serine or asparagine; and/or     -   (3) an amino acid residue at position 5 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine; and/or     -   (4) an amino acid residue at position 6 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with proline; and/or     -   (5) an amino acid residue at position 7 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine; and/or     -   (6) an amino acid residue at position 8 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (7) an amino acid residue at position 9 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with histidine, proline         or tyrosine; and/or     -   (8) an amino acid residue at position 10 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with histidine,         phenylalanine, lysine, proline, threonine or leucine; and/or     -   (9) an amino acid residue at position 11 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine, tyrosine         or proline; and/or     -   (10) an amino acid residue at position 14 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with aspartic acid;         and/or     -   (11) an amino acid residue at position 15 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with threonine; and/or     -   (12) an amino acid residue at position 25 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine, serine         or tryptophan; and/or     -   (13) an amino acid residue at position 30 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glycine, histidine         or arginine; and/or     -   (14) an amino acid residue at position 34 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         isoleucine; and/or     -   (15) an amino acid residue at position 40 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine or         methionine; and/or     -   (16) an amino acid residue at position 43 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine; and/or     -   (17) an amino acid residue at position 57 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (18) an amino acid residue at position 60 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with valine; and/or     -   (19) an amino acid residue at position 65 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine or         tryptophan; and/or     -   (20) an amino acid residue at position 67 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine or         valine; and/or     -   (21) an amino acid residue at position 69 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (22) an amino acid residue at position 70 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine or         leucine; and/or     -   (23) an amino acid residue at position 71 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glycine; and/or     -   (24) an amino acid residue at position 72 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine; and/or     -   (25) an amino acid residue at position 80 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (26) an amino acid residue at position 84 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (27) an amino acid residue at position 85 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         threonine; and/or     -   (28) an amino acid residue at position 86 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine or         isoleucine; and/or     -   (29) an amino acid residue at position 87 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine, cysteine,         phenylalanine, isoleucine, leucine, methionine, valine or         tryptophan; and/or     -   (30) an amino acid residue at position 90 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (31) an amino acid residue at position 91 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (32) an amino acid residue at position 99 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine or         proline; and/or     -   (33) an amino acid residue at position 101 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine or         leucine; and/or     -   (34) an amino acid residue at position 102 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (35) an amino acid residue at position 103 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine,         leucine or methionine; and/or     -   (36) an amino acid residue at position 105 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine,         leucine or tryptophan; and/or     -   (37) an amino acid residue at position 106 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with threonine; and/or     -   (38) an amino acid residue at position 108 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with lysine, arginine         or tryptophan; and/or     -   (39) an amino acid residue at position 111 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (40) an amino acid residue at position 117 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine; and/or     -   (41) an amino acid residue at position 120 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine or lysine;         and/or     -   (42) an amino acid residue at position 119 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with threonine; and/or     -   (43) an amino acid residue at position 126 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with proline; and/or     -   (44) an amino acid residue at position 132 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (45) an amino acid residue at position 141 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with aspartic acid;         and/or     -   (46) an amino acid residue at position 146 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine; and/or     -   (47) an amino acid residue at position 149 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with valine or serine;         and/or     -   (48) an amino acid residue at position 154 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with lysine; and/or     -   (49) an amino acid residue at position 159 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (50) an amino acid residue at position 160 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine;         and/or     -   (51) an amino acid residue at position 162 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with proline, histidine         or asparagine; and/or     -   (52) an amino acid residue at position 175 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glycine, lysine,         proline, glutamine, serine, threonine or tryptophan; and/or     -   (53) an amino acid residue at position 176 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine;         and/or     -   (54) an amino acid residue at position 187 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with threonine; and/or     -   (55) an amino acid residue at position 189 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine; and/or     -   (56) an amino acid residue at position 193 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine,         threonine or valine; and/or     -   (57) an amino acid residue at position 206 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine;         and/or     -   (58) an amino acid residue at position 211 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamic acid;         and/or     -   (59) an amino acid residue at position 213 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with proline or         leucine; and/or     -   (60) an amino acid residue at position 214 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine, threonine         or valine, histidine, glutamic acid, arginine or phenylalanine;         and/or     -   (61) an amino acid residue at position 215 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (62) an amino acid residue at position 216 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (63) an amino acid residue at position 222 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (64) an amino acid residue at position 228 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine, alanine,         proline, threonine or valine; and/or     -   (65) an amino acid residue at position 232 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with valine; and/or     -   (66) an amino acid residue at position 244 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine;         and/or     -   (67) an amino acid residue at position 247 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine; and/or     -   (68) an amino acid residue at position 264 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with aspartic acid;         and/or     -   (69) an amino acid residue at position 278 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine; and/or     -   (70) an amino acid residue at position 284 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with tyrosine or         leucine; and/or     -   (71) an amino acid residue at position 285 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (72) an amino acid residue at position 303 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine or proline;         and/or     -   (73) an amino acid residue at position 305 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         aspartic acid; and/or     -   (74) an amino acid residue at position 306 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine,         arginine or serine; and/or     -   (75) an amino acid residue at position 326 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         proline; and/or     -   (76) an amino acid residue at position 338 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with proline, alanine         or serine; and/or     -   (77) an amino acid residue at position 341 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine; and/or     -   (78) an amino acid residue at position 342 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glycine; and/or     -   (79) an amino acid residue at position 345 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (80) an amino acid residue at position 349 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine; and/or     -   (81) an amino acid residue at position 352 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glycine or         leucine; and/or     -   (82) an amino acid residue at position 375 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (83) an amino acid residue at position 377 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with histidine; and/or     -   (84) an amino acid residue at position 384 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with tyrosine; and/or     -   (85) an amino acid residue at position 386 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (86) an amino acid residue at position 392 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine or         alanine; and/or     -   (87) an amino acid residue at position 395 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (88) an amino acid residue at position 399 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine or         asparagine; and/or     -   (89) an amino acid residue at position 402 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with valine or         histidine; and/or     -   (90) an amino acid residue at position 404 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with tyrosine or         tryptophan; and/or     -   (91) an amino acid residue at position 406 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamine; and/or     -   (92) an amino acid residue at position 414 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (93) an amino acid residue at position 440 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with valine; and/or     -   (94) an amino acid residue at position 443 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (95) an amino acid residue at position 448 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine,         phenylalanine or trypophan; and/or     -   (96) an amino acid residue at position 454 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glycine; and/or     -   (97) an amino acid residue at position 460 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine or         proline; and/or     -   (98) an amino acid residue at position 461 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with valine, asparagine         or methionine; and/or     -   (99) an amino acid residue at position 462 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (100) an amino acid residue at position 484 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         glycine; and/or     -   (101) an amino acid residue at position 488 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         asparagine; and/or     -   (102) an amino acid residue at position 493 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine; and/or     -   (103) an amino acid residue at position 494 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine; and/or     -   (104) an amino acid residue at position 496 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         phenylalaine; and/or     -   (105) an amino acid residue at position 429 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or serine;         and/or     -   (106) an amino acid residue at position 442 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with threonine; and/or     -   (107) an amino acid residue at position 445 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamic acid or         proline; and/or     -   (108) an amino acid residue at position 501 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamic acid,         methionine, glycine or lysine; and/or     -   (109) an amino acid residue at position 502 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (110) an amino acid residue at position 509 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (111) an amino acid residue at position 512 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamic acid,         histidine or serine. -   5. A nucleic acid molecule encoding the MDC variant of any one of     items 1 to 4. -   6. A vector comprising the nucleic acid molecule of item 5. -   7. A host cell comprising the nucleic acid molecule of item 5 or the     vector of item 6. -   8. Use of the MDC variant of any one of items 1 to 4 or the host     cell of item 7 for the conversion of 3-methylcrotonic acid into     isobutene. -   9. A method for producing isobutene from 3-methylcrotonic acid by     incubating 3-methylcrotonic acid with the MDC variant of any one of     items 1 to 4. -   10. The method of item 9, wherein the enzymatic conversion is     carried out in vitro. -   11. A composition comprising a variant of an MDC of any one of items     1 to 4, the nucleic acid molecule of item 5, the vector of item 6 or     the host cell of item 7. -   12. A composition comprising a variant of an MDC of any one of items     1 to 4, the nucleic acid molecule of item 5, the vector of item 6 or     the host cell of item 7 and 3-methylcrotonic acid.

Thus, in a first aspect of the first part, the present invention provides a variant of a 3-methylcrotonic acid decarboxylase (MDC) showing an improved activity in converting 3-methylcrotonic acid into isobutene over the corresponding MDC from which it is derived.

An improved enzyme variant or an enzyme variant capable of catalyzing a reaction with increased activity is defined as an enzyme variant which differs from the wildtype enzyme and which catalyzes the conversion of 3-methylcrotonic acid into isobutene so that the specific activity of the enzyme variant is higher than the specific activity of the wildtype enzyme for at least one given concentration of a 3-methylcrotonic acid (preferably any 3-methylcrotonic acid higher than 0 M and up to 1 M). A specific activity is defined as the number of moles of substrate converted to moles of product by unit of time by mole of enzyme. K_(cat) (turnover number) is the specific activity at saturating concentration of substrate.

In particular, in accordance with this first aspect of the first part, the present invention provides enzymes which are capable of converting 3-methylcrotonic acid into isobutene with a turnover rate of at least 1×10⁻³ s⁻¹ of 3-methylcrotonic acid into isobutene. Such enzymes can be provided by effecting mutations at specific positions in an 3-methylcrotonic acid decarboxylase (MDC) and the variants obtained by effecting such mutations show an improved activity in catalyzing the conversion of 3-methylcrotonic acid into isobutene. In a preferred embodiment, the enzyme is capable of converting 3-methylcrotonic acid into isobutene with a turnover rate of at least 2×10⁻³ s⁻¹ of 3-methylcrotonic acid into isobutene and in a particularly preferred embodiment of at least 4×10⁻³ s⁻¹. In a most preferred embodiment, the enzyme has a turnover rate of at least 10×10⁻³ s⁻¹ or at least 1 s⁻¹, or at least 10 s⁻¹ and even more preferably of at least 100 s⁻¹ of 3-methylcrotonic acid into isobutene. The corresponding wild-type enzyme has a turnover rate of about 1×10⁻³ s⁻¹ of 3-methylcrotonic acid into isobutene.

In the context of the first part of the present invention, an “improved activity” means that the activity of the enzyme in question is at least 10%, preferably at least 20%, more preferably at least 30% or 50%, even more preferably at least 70% or 80% and particularly preferred at least 90% or 100% higher than that of the enzyme from which the variant is derived, preferably higher than that of the enzyme represented by SEQ ID NO:1. In even more preferred embodiments the improved activity may be at least 150%, at least 200%, at least 300%, at least 750% or at least 1000% higher than that of the corresponding enzyme from which the variant is derived, preferably higher than that of the enzyme represented by SEQ ID NO:1. In a particularly preferred embodiment, the activity is measured by using an assay with purified enzyme and chemically synthesized substrates, as described below. The improved activity of a variant can be measured as a higher isobutene production in a given time under defined conditions, compared with the parent enzyme. This improved activity can result from a higher turnover number, e.g. a higher kcat value. It can also result from a lower Km value. It can also result from a higher kcat/Km value. Finally, it can result from a higher solubility, or stability of the enzyme. The degree of improvement can be measured as the improvement in isobutene production. The degree of improvement can also be measured in terms of kcat improvement, of kcat/Km improvement, or in terms of Km decrease, in terms of soluble protein production or in terms of protein stability.

In another embodiment, the enzyme variants which the present invention provides are capable of converting 3-methylcrotonic acid into isobutene with an activity which is at least 1.25 times as high compared to the turnover rate of the corresponding wild type enzyme having the amino acid sequence as shown in SEQ ID NO: 1. In a more preferred embodiment, the enzyme variants which are capable of converting 3-methylcrotonic acid into isobutene have a turnover rate (i.e., a k_(cat)-value) which is at least 2 times, at least 3 times, at least 5 times or even at least 10 times as high compared to the turnover rate of the corresponding wild type enzyme having the amino acid sequence as shown in SEQ ID NO: 1. In even more preferred embodiments, the turnover rate is at least 100 times or even at least 500 times as high compared to that of the corresponding wild type enzyme having the amino acid sequence as shown in SEQ ID NO:1.

Such enzyme variants are obtained by effecting mutations at specific positions in the amino acid sequence of an MDC and the variants obtained by effecting such mutations show an improved activity in catalyzing the conversion of 3-methylcrotonic acid into isobutene. The activity of an enzyme capable of converting 3-methylcrotonic acid into isobutene may be determined by methods known to the person skilled in the art. In one embodiment, this activity is determined as described in the Examples appended hereto. In a particular embodiment this activity can be measured by incubating the enzyme, preferably a cell lysate containing the overexpressed recombinant protein, in vitro. Alternatively, a purified enzyme can be used or an in vivo assay.

More specifically, the activity of the MDC variants for the conversion of 3-methylcrotonic acid into isobutene can be assessed by an enzymatic in vitro assay based on purified proteins and on the detection of isobutene by gas chromatography. The turnover rate of the enzyme to be assessed may be examined as outlined in the following: Michaelis-Menten k_(cat) and K_(m) steady state kinetic constants for the reaction of conversion of 3-methylcrotonic acid into isobutene may be determined using the following protocol:

The enzymatic assay for quantifying the conversion of 3-methylcrotonic acid into isobutene is carried out in a 2 ml glass vial at 30° C. in a 50 mM potassium phosphate pH 7.5 buffer; 20 mM NaCl, 3 mM MgCl₂, 5 mM DTT, 0.5 mg/ml of a purified enzyme of the MDC variant to be tested, 100 μl of a lysate containing a FMN prenyltransferase (i.e., a Flavin prenyltransferase UbiX protein from E. coli expressed and prepared as outlined further below) as well as different concentrations of the substrate 3-methylcrotonic acid ranging from 0 to 128 mM. A control without an MDC enzyme is performed in parallel. After 60 minutes, the reaction is stopped by incubating at 80° C. for 2 min. The rate of isobutene production is quantified by gas chromatography as follows.

The isobutene formed in the reaction headspace is analysed by gas chromatography (GC) equipped with a flame ionization detector (FID). For the GC headspace analysis, one ml of the headspace gas is separated in a Bruker GC-450 system equipped with a GS-alumina column (30 m×0.53 mm) (Agilent) using isothermal mode at 130° C. Nitrogen is used as carrier gas with a flow rate of 6 ml/min. The enzymatic reaction product is identified by comparison with an isobutene standard. Under these GC conditions, the retention time of isobutene is 2.42 min. From the rate of isobutene production, and using the Michaelis-Menten approximation, the enzyme catalytic efficiency can then be computed. The production rates of isobutene (mole of PV/mole enzyme/sec) are plotted as a function of the concentration of 3-methylcrotonic acid and the curve is fitted using the Michaelis Menten equation (V=(V_(max)*(substrate))/(K_(m)+(substrate))) to extract the k_(cat) (s⁻¹) and the K_(m) values (mM).

The MDC variant to be tested can be provided according to the following protocol: The MDC to be tested is subcloned into the pETDuet™-1 co-expression vector. The vector contains a stretch of 6 histidine codons after the methionine initiation codon of the ferulic acid decarboxylases in order to provide an affinity tag for purification.

Competent E. coli BL21 (DE3) cells (Novagen) are transformed with this vector according to standard heat shock procedures and plated out onto LB-agar plates supplemented with the appropriate antibiotic. Cells are grown overnight at 30° C. until individual colonies reach the desired size. A single colony is then picked and individually transferred into 5 ml of liquid LB medium supplemented with the appropriate antibiotic. Cell growth is carried out with shaking for 16 hours at 30° C. The LB culture of the transformed cells is used to inoculate a culture using ZYM-5052 auto-induction medium (Studier F W, Prot. Exp. Pur. 41, (2005), 207-234) and the culture is grown with shaking (160 rpm) at 30° C. during 24 h. The cells are collected by centrifugation at 4° C., 10,000 rpm for 20 min and the pellets are frozen and stored at −80° C. The pellets containing the overexpressed protein of a 500 ml of cultured cells is thawn on ice and resuspended in 15 ml of 50 mM potassium phosphate buffer containing 200 mM NaCl, 10 mM MgCl₂, 10 mM imidazole and 1 mM DTT. Twenty microliters of lysonase (Novagen) is added and the cells are incubated for 10 minutes at room temperature and then returned to ice for 20 minutes. Cell lysis is then completed by sonication for 2×15 seconds.

The bacterial extracts are then clarified by centrifugation at 4° C., 4000 rpm for 40 min. The clarified bacterial lysates are loaded onto a PROTINO-2000 Ni-TED column (Macherey-Nagel) allowing adsorption of 6-His tagged proteins. Columns are washed and the enzymes of interest are eluted with 6 ml of 50 mM potassium phosphate buffer containing 250 mM imidazole. Eluates are then concentrated, desalted on a Amicon Ultra-4 10 kDa filter unit (Millipore) and enzymes are resuspended in 50 mM potassium phosphate buffer containing 1 mM DTT and 20 mM NaCl. Protein concentrations are determined by direct UV 280 nm measurement on a NanoDrop 1000 spectrophotometer (Thermo Scientific) or by a Bradford assay (BioRad).

Correspondingly, the cDNA of a Flavin prenyltransferase UbiX protein from E. coli is cloned and recombinantly expressed, purified and quantified.

As described in the above enzymatic in vitro assay for determining the activity of the MDC variants of the present invention, UbiX does not necessarily have to be provided in a recombinantly expressed and subsequently purified manner. Therefore, UbiX may alternatively also be provided in the form of a UbiX-containing cell lysate without purifying it as described in the following.

The Flavin prenyltransferase UbiX protein from E. coli is cloned in the vector pCAN. The Flavin prenyltransferase UbiX protein from E. coli was purchased from NAIST (Nara Institute of Science and Technology, Japan, ASKA collection).

Competent E. coli BL21 (DE3) cells (Novagen) are transformed with this vector according to standard heat shock procedures and plated out onto LB-agar plates supplemented with the appropriate antibiotic. Cells are grown overnight at 30° C. until individual colonies reach the desired size. A single colony is then picked and individually transferred into 5 ml of liquid LB medium supplemented with the appropriate antibiotic. Cell growth is carried out with shaking for 16 hours at 30° C. The LB culture of the transformed cells is used to inoculate a ZYM-5052 auto-induction medium (Studier F W, Prot. Exp. Pur. 41, (2005), 207-234) and the culture is grown with shaking (160 rpm) using at 30° C. during 24 h. The cells are collected by centrifugation at 4° C., 10,000 rpm for 20 min and the pellets are stored at −80° C. Pellets from 500 ml of cultured cells are thawed on ice and resuspended in 15 ml of 50 mM potassium phosphate buffer containing 200 mM NaCl, 10 mM MgCl₂, 10 mM imidazole and 1 mM DTT. Twenty microliters of lysonase (Novagen) is added. Cells are incubated 10 minutes at room temperature and then returned to ice for 20 minutes. Cell lysis is completed by sonication for 2×15 seconds. The cellular lysate containing the UbiX protein is kept on ice.

Alternatively to the above in vitro assays, the activity of the MDC variants for the conversion of 3-methylcrotonic acid into isobutene can be assessed by an in vivo testing. This coupled in vivo assay is based on the use of a bacterial strain transformed with an expression vector that contains the coding sequences leading to the production of the MDC variant and the Flavin prenyltransferase UbiX protein from E. coli (SEQ ID NO:2). Thus, the MDC variant to be tested is subcloned into a pETDuet™-1 co-expression vector (Novagen) in addition to the cDNA of the Flavin prenyltransferase UbiX protein from E. coli.

The MDC variant of the present invention to be tested is used to catalyze the decarboxylation reaction of 3-methylcrotonic acid into isobutene while the Flavin prenyltransferase UbiX protein from E. coli provides the modified flavin cofactor. Thus, in the coupled in vivo assay, a bacterial strain is used which is transformed with the above expression vector.

The transformed strain is first plated out onto LB-agar plates supplemented with the appropriate antibiotic. Cells are then grown overnight at 30° C. until individual colonies reach the desired size. Single colonies are then picked and individually transferred into either 50 or 500 μL of liquid LB medium supplemented with the appropriate antibiotic. Cell growth is carried out with shaking for 20 hours at 30° C. The LB cultures are used to inoculate 300 μL in 384 deepwell microplates or 1 mL in 96 deepwell microplates of auto-induction medium (Studier F W, Prat. Exp. Pur. 41, (2005), 207-234) supplemented with the appropriate antibiotic and grown in a shaking incubator set at 700 rpm and 85% humidity for 24 h at 30° C. in order to produce the two types of recombinant enzymes. The cell pellet containing these overexpressed recombinant enzymes is then resuspended in 40 μL of minimum medium (pH 7.5, Phosphate 100 mM, Glucose 10 g·L⁻¹, MgSO₄ 1 mM) supplemented with 10 mM 3-methylcrotonic acid in 384 deepwell microplates or in 400 μL of minimum medium (pH 7.5, Phosphate 100 mM, Glucose 10 g·L⁻¹, MgSO₄ 1 mM) supplemented with 10 mM 3-methylcrotonic acid in 96 deepwell microplates and incubated for a further 2 or 4 hours in a shaking incubator at 37° C., 700 rpm. During this step, the MDC variant catalyses the decarboxylation of 3-methylcrotonic acid into isobutene. After 5 min inactivation at 80° C., the isobutene produced is quantified by gas chromatography as follows. 100 μL of headspace gases from each enzymatic reaction are injected in a Brucker GC-450 system equipped with a Flame Ionization Detector (FID). Compounds present in samples are separated by chromatography using a RTX-1 column at 100° C. with a 1 mL/min constant flow of nitrogen as carrier gas. Upon injection, peak areas of isobutene are calculated.

By providing the above described enzyme variant, the first part of the present invention allows to dramatically increase the production efficiency of isobutene from 3-methylcrotonic acid.

The term “3-methylcrotonic acid decarboxylase (MDC)” refers to an enzyme which can catalyze the decarboxylation of 3-methylcrotonic acid into isobutene. A decarboxylation is a chemical reaction that removes a carboxyl group and releases carbon dioxide. This activity can be measured by methods known in the art and as described above. In a preferred embodiment, the MDC is a Ferulic Acid Decarboxylase (FDC) or is derived from such an enzyme. FDCs belong to the enzyme class EC 4.1.1.-. As mentioned above, it has originally been described that an FDC in association with a modified FMN (prenylated-FMN) is capable of catalyzing an α,β-unsaturated decarboxylation via a 1,3-dipolar cyclo-addition and, more specifically, capable of catalyzing the decarboxylation of 3-methylcrotonic acid into isobutene. Thus, in the context of the present invention, the term FDC relates to enzymes capable of catalyzing the decarboxylation of 3-methylcrotonic acid into isobutene, preferably when provided with a prenylated FMN.

FDC enzymes have, e.g., been described in Saccharomyces cerevisiae, Enterobacter sp., Bacillus pumilus, Aspergillus niger or Candida dubliniensis. Hence, in preferred embodiments, the FDC is derived from Saccharomyces cerevisiae (Uniprot accession number Q03034), Enterobacter sp. (Uniprot accession number V3P7U0), Bacillus pumilus (Uniprot accession number Q45361), Aspergillus niger (Uniprot accession number A2R0P7) or Candida dubliniensis (Uniprot accession number B9WJ66). In more preferred embodiments, the FDC is a 3-polyprenyl-4-hydroxybenzoate decarboxylase (UbiD). 3-polyprenyl-4-hydroxybenzoate decarboxylases have, e.g., been described in Hypocrea atroviridis, Sphaerulina musiva, Penecillinum requeforti, Fusarium oxysporum f. sp. lycopersici, Saccharomyces kudriavzevii, Saccaromyces cerevisiae, Aspergillus parasiticus, Candida albicans, Grosmannia clavigera, Escherichia coli, Bacillus megaterium, Methanothermobacter sp. CaT2 or Mycobacterium chelonae 1518. Hence, in more preferred embodiments, the FDC enzyme variant capable of catalyzing the decarboxylation of 3-methylcrotonic acid into isobutene is derived from a 3-polyprenyl-4-hydroxybenzoate decarboxylase (UbiD) from Hypocrea atroviridis (UniProt Accession number G9NLP8), Sphaerulina musiva (UniProt Accession number M3DF95), Penecillinum requeforti (UniProt Accession number W6QKP7), Fusarium oxysporum f. sp. lycopersici (UniProt Accession number W9LTH3), Saccharomyces kudriavzevii (UniProt Accession number J8TRN5), Saccaromyces cerevisiae, Aspergillus parasiticus, Candida albicans, Grosmannia clavigera, Escherichia coli (Uniprot accession number POAAB4), Bacillus megaterium (Uniprot accession number D5DTL4), Methanothermobacter sp. CaT2 (Uniprot accession number T2GKK5) or Mycobacterium chelonae 1518 (Uniprot accession number X8EX86). Preferably, the MDC is an enzyme which is associated with and/or depends on an FMN prenyl transferase. As mentioned above, the enzymatic conversion of 3-methylcrotonic acid into isobutene utilizing an FMN-dependent decarboxylase is preferably associated with an FMN prenyl transferase and relies on a reaction of two consecutive steps catalyzed by the two enzymes, i.e., the FMN-dependent decarboxylase (catalyzing the actual decarboxylation of 3-methylcrotonic acid into isobutene) with an associated FMN prenyl transferase which provides the modified flavin cofactor. The flavin cofactor may preferably be FMN or FAD. FMN (flavin mononucleotide; also termed riboflavin-5′-phosphate) is a biomolecule produced from riboflavin (vitamin B2) by the enzyme riboflavin kinase and functions as prosthetic group of various reactions. FAD (flavin adenine dinucleotide) is a redox cofactor, more specifically a prosthetic group, involved in several important reactions in metabolism. The FMN prenyl transferases which may be associated with the MDC variants of the present invention are described in more detail further below.

The first part of the present invention provides now improved variants of enzymes which are capable of converting 3-methylcrotonic acid into isobutene. The inventors used as a model enzyme the FDC of Hypocrea atroviridis shown in SEQ ID NO: 1 and could show that it is possible to provide variants of this enzyme which show increased activity with respect to the conversion of 3-methylcrotonic acid into isobutene.

The model enzyme, i.e., the FDC of Hypocrea atroviridis, as used by the inventors has the amino acid sequence as shown in SEQ ID NO: 1.

In one preferred embodiment of the first part of the present invention, the variants of the present invention are characterized by the feature that they are derived from an MDC, more preferably from an MDC having the amino acid sequence shown in SEQ ID NO:1 or a highly related sequence (at least 60% identical) and in which mutations are effected at one or more of the above indicated positions and by the feature that they show the ability to convert 3-methylcrotonic acid into isobutene and that they can do this with an improved activity. In a preferred embodiment the variant according to the present invention is derived from a sequence which shows at least 70%, more preferably at least 80% sequence identity to SEQ ID NO:1 and in which one or more substitutions and/or deletions and/or insertions at the positions indicated herein have been effected.

However, the teaching of the present invention is not restricted to the MDC enzyme of Hypocrea atroviridis shown in SEQ ID NO: 1 which had been used as a model enzyme but can be extended to MDC enzymes from other organisms or to enzymes which are structurally related to SEQ ID NO:1 such as, e.g., truncated variants of the enzyme. Thus, the present invention also relates to variants of MDCs which are structurally related to the Hypocrea atroviridis sequence (SEQ ID NO: 1) and which show one or more substitutions and/or deletions and/or insertions at positions corresponding to any of the positions as indicated herein. The term “structurally related” refers to MDCs which show a sequence identity of at least n % to the sequence shown in SEQ ID NO: 1 with n being an integer between 60 and 100, preferably 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 80, 85, 90, 91, 92, 93, 94, 95, 96, 97, 98 or 99. In a preferred embodiment the structurally related MDC stems from a fungus, more preferably from an organism of the division of Ascomyceta, even more preferably from an organism of the class of Sordariomycetes, the order of Hypocreales, the family of Hypocreaceae or the genus Hypocrea, most preferably of the genus Hypocrea.

Thus, in one embodiment, the variant of an MDC according to the first part of the present invention has or preferably is derived from a sequence which is at least n % identical to SEQ ID NO: 1 with n being an integer between 60 and 100, preferably 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 80, 85, 90, 91, 92, 93, 94, 95, 96, 97, 98 or 99, and it has (a) substitution(s) and/or (a) deletion and/or (an) insertion(s) at a position as indicated herein. When the sequences which are compared do not have the same length, the degree of identity either refers to the percentage of amino acid residues in the shorter sequence which are identical to amino acid residues in the longer sequence or to the percentage of amino acid residues in the longer sequence which are identical to amino acid residues in the shorter sequence. Preferably, it refers to the percentage of amino acid residues in the shorter sequence which are identical to amino acid residues in the longer sequence. The degree of sequence identity can be determined according to methods well known in the art using preferably suitable computer algorithms such as CLUSTAL.

When using the Clustal analysis method to determine whether a particular sequence is, for instance, at least 60% identical to a reference sequence default settings may be used or the settings are preferably as follows: Matrix: blosum 30; Open gap penalty: 10.0; Extend gap penalty: 0.05; Delay divergent: 40; Gap separation distance: 8 for comparisons of amino acid sequences. For nucleotide sequence comparisons, the Extend gap penalty is preferably set to 5.0.

In a preferred embodiment ClustalW2 is used for the comparison of amino acid sequences. In the case of pairwise comparisons/alignments, the following settings are preferably chosen: Protein weight matrix: BLOSUM 62; gap open: 10; gap extension: 0.1. In the case of multiple comparisons/alignments, the following settings are preferably chosen: Protein weight matrix: BLOSUM 62; gap open: 10; gap extension: 0.2; gap distance: 5; no end gap. Preferably, the degree of identity is calculated over the complete length of the sequence.

Amino acid residues located at a position corresponding to a position as indicated herein in the amino acid sequence shown in SEQ ID NO:1 can be identified by the skilled person by methods known in the art. For example, such amino acid residues can be identified by aligning the sequence in question with the sequence shown in SEQ ID NO:1 and by identifying the positions which correspond to the above or below indicated positions of SEQ ID NO: 1. The alignment can be done with means and methods known to the skilled person, e.g. by using a known computer algorithm such as the Lipman-Pearson method (Science 227 (1985), 1435) or the CLUSTAL algorithm. It is preferred that in such an alignment maximum homology is assigned to conserved amino acid residues present in the amino acid sequences.

In a preferred embodiment ClustalW2 is used for the comparison of amino acid sequences. In the case of pairwise comparisons/alignments, the following settings are preferably chosen: Protein weight matrix: BLOSUM 62; gap open: 10; gap extension: 0.1. In the case of multiple comparisons/alignments, the following settings are preferably chosen: Protein weight matrix: BLOSUM 62; gap open: 10; gap extension: 0.2; gap distance: 5; no end gap.

When the amino acid sequences of MDCs are aligned by means of such a method, regardless of insertions or deletions that occur in the amino acid sequences, the positions of the corresponding amino acid residues can be determined in each of the MDCs.

In the context of the present invention, “substituted with another amino acid residue” means that the respective amino acid residues at the indicated position can be substituted with any other possible amino acid residues, e.g. naturally occurring amino acids or non-naturally occurring amino acids (Brustad and Arnold, Curr. Opin. Chem. Biol. 15 (2011), 201-210), preferably with an amino acid residues selected from the group consisting of alanine, arginine, asparagine, aspartic acid, cysteine, glutamine, glutamic acid, glycine, histidine, isoleucine, leucine, lysine, methionine, phenylalanine, proline, serine, threonine, tryptophan, tyrosine and valine. Preferred substitutions for certain positions are indicated further below. Moreover, the term “substituted” or “substitution” also means that the respective amino acid residue at the indicated position is modified.

Such modifications include naturally occurring modifications and non-naturally occurring modifications. Naturally occurring modifications include but are not limited to eukaryotic post-translational modification, such as attachment of functional groups (e.g. acetate, phosphate, hydroxyl, lipids (myristoylation of glycine residues) and carbohydrates (e.g. glycosylation of arginine, asparagine etc.). Naturally occurring modifications also encompass the change in the chemical structure by citrullination, carbamylation and disulphide bond formation between cysteine residues; attachment of co-factors (FMN or FAD that can be covalently attached) or the attachement of peptides (e.g. ubiquitination or sumoylation).

Non-naturally occurring modifications include, e.g., in vitro modifications such as biotinylation of lysine residue or the inclusion of non-canonical amino acids (see Liu and Schultz, Annu. Rev. Biochem. 79 (2010), 413-44 and Wang et al., Chem. Bio. 2009 Mar. 27; 16 (3), 323-336; doi: 101016/jchembiol.2009.03.001).

In the context of the present invention, “deleted” or “deletion” means that the amino acid at the corresponding position is deleted.

In the context of the present invention, “inserted” or “insertion” means that at the respective position one or two, preferably one amino acid residue is inserted, preferably in front of the indicated position.

In a second aspect of the first part, the present invention provides a variant of a 3-methylcrotonic acid decarboxylase (MDC) showing an improved activity in converting 3-methylcrotonic acid into isobutene over the corresponding MDC from which it is derived, wherein the MDC variant is characterized in that it shows one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 405, 2, 12, 13, 29, 31, 33, 35, 89, 114, 195, 197, 221, 293, 337, 351, 376, 381, 388, 420, 422, 435, 436, 439, 441, 447, 449, 500, 506 and 511 in the amino acid sequence shown in SEQ ID NO: 1.

The present invention relates in a preferred embodiment to an MDC variant having an amino acid sequence as shown in SEQ ID NO:1 or an amino acid sequence having at least 60% sequence identity to SEQ ID NO:1, in which one or more amino acid residues at a position selected from the group consisting of positions 405, 2, 12, 13, 29, 31, 33, 35, 89, 114, 195, 197, 221, 293, 337, 351, 376, 381, 388, 420, 422, 435, 436, 439, 441, 447, 449, 500, 506 and 511 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to any of these positions, are substituted with another amino acid residue or deleted or wherein an insertion has been effected at one or more of these positions and wherein said MDC variant has an improved activity in converting 3-methylcrotonic acid into isobutene.

According to one embodiment, the first part of the present invention relates to any of the above-described MDC variants having an amino acid sequence as shown in SEQ ID NO: 1 or an amino acid sequence having at least 60% sequence identity to SEQ ID NO: 1 in which

-   -   (1) an amino acid residue at position 2 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine, aspartic         acid, phenylalanine, lysine, leucine, asparagine, glutamine or         valine; and/or     -   (2) an amino acid residue at position 12 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine, alanine or         asparagine; and/or     -   (3) an amino acid residue at position 13 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with histidine,         isoleucine, asparagine, serine, valine or tyrosine; and/or     -   (4) an amino acid residue at position 29 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine,         histidine or serine; and/or     -   (5) an amino acid residue at position 31 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamic acid or         glycine; and/or     -   (6) an amino acid residue at position 33 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine; and/or     -   (7) an amino acid residue at position 35 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with methionine, serine         or threonine; and/or     -   (8) an amino acid residue at position 89 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine or         phenylalanine; and/or     -   (9) an amino acid residue at position 114 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine; and/or     -   (10) an amino acid residue at position 195 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with methionine,         cysteine, phenylalanine, isoleucine, valine, tryptophan or         tyrosine; and/or     -   (11) an amino acid residue at position 197 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine or         methionine; and/or     -   (12) an amino acid residue at position 221 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (13) an amino acid residue at position 293 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (14) an amino acid residue at position 337 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with methionine or         leucine; and/or     -   (15) an amino acid residue at position 351 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine,         asparagine, alanine, valine or glycine; and/or     -   (16) an amino acid residue at position 376 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine; and/or     -   (17) an amino acid residue at position 381 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine; and/or     -   (18) an amino acid residue at position 388 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamic acid;         and/or     -   (19) an amino acid residue at position 405 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine,         leucine, methionine, proline or glutamine; and/or     -   (20) an amino acid residue at position 420 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (21) an amino acid residue at position 422 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with methionine; and/or     -   (22) an amino acid residue at position 435 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with methionine; and/or     -   (23) an amino acid residue at position 436 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (24) an amino acid residue at position 439 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (25) an amino acid residue at position 441 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with tyrosine; and/or     -   (26) an amino acid residue at position 447 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with tryptophan,         methionine or tyrosine; and/or     -   (27) an amino acid residue at position 449 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine,         methionine or valine; and/or     -   (28) an amino acid residue at position 500 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine; and/or     -   (29) an amino acid residue at position 506 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine or         tyrosine; and/or     -   (30) an amino acid residue at position 511 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with methionine or         isoleucine.

The invention also relates to variants as defined in (1) to (30) hereinabove, wherein the amino acid residue indicated as substituting the amino acid residue at the position in SEQ ID NO: 1 is not that particular amino acid residue but an amino acid residue which is conservative in relation to the indicated substituting amino acid.

Whether an amino acid is conservative with respect to another amino acid can be judged according to means and methods known in the art and as described herein above. One possibility is the PAM 250 matrix; alternatively, the Blosum Family Matrices can be used.

The present invention also relates to an MDC variant as described herein above which has an amino acid sequence as shown in SEQ ID NO:1 or an amino acid sequence having at least 60% sequence identity to SEQ ID NO: 1, in which one or more amino acid residues at a position selected from the group consisting of positions 405, 2, 12, 13, 29, 31, 33, 35, 89, 114, 195, 197, 221, 293, 337, 351, 376, 381, 388, 420, 422, 435, 436, 439, 441, 447, 449, 500, 506 and 511 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to any of these positions, are substituted with another amino acid residue or deleted or wherein an insertion has been effected at one or more of these positions and which furthermore shows at least one modification at a position selected from the group consisting of 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 15, 25, 30, 34, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 206, 211, 213, 214, 215, 216, 222, 228, 232, 244, 247, 264, 278, 284, 285, 303, 305, 306, 326, 338, 341, 342, 345, 349, 352, 375, 377, 384, 386, 392, 395, 399, 402, 404, 406, 414, 429, 440, 442, 443, 445, 448, 454, 460, 461, 462, 484, 488, 493, 494, 496, 501, 502, 509 and 512 in the amino acid sequence shown in SEQ ID NO: 1.

According to one embodiment, such an MDC variant as described herein above which furthermore shows at least one modification at a position selected from the group consisting of 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 15, 25, 30, 34, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 206, 211, 213, 214, 215, 216, 222, 228, 232, 244, 247, 264, 278, 284, 285, 303, 305, 306, 326, 338, 341, 342, 345, 349, 352, 375, 377, 384, 386, 392, 395, 399, 402, 404, 406, 414, 429, 440, 442, 443, 445, 448, 454, 460, 461, 462, 484, 488, 493, 494, 496, 501, 502, 509 and 512 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to any of these positions is an MDC variant, wherein

-   -   (1) an amino acid residue at position 3 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine, glutamic         acid, glycine, lysine, proline, tryptophan, cysteine, aspartic         acid or tyrosine; and/or     -   (2) an amino acid residue at position 4 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamic acid,         leucine, methionine, alanine, serine or asparagine; and/or     -   (3) an amino acid residue at position 5 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine; and/or     -   (4) an amino acid residue at position 6 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with proline; and/or     -   (5) an amino acid residue at position 7 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine; and/or     -   (6) an amino acid residue at position 8 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (7) an amino acid residue at position 9 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with histidine, proline         or tyrosine; and/or     -   (8) an amino acid residue at position 10 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with histidine,         phenylalanine, lysine, proline, threonine or leucine; and/or     -   (9) an amino acid residue at position 11 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine, tyrosine         or proline; and/or     -   (10) an amino acid residue at position 14 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with aspartic acid;         and/or     -   (11) an amino acid residue at position 15 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with threonine; and/or     -   (12) an amino acid residue at position 25 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine, serine         or tryptophan; and/or     -   (13) an amino acid residue at position 30 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glycine, histidine         or arginine; and/or     -   (14) an amino acid residue at position 34 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         isoleucine; and/or     -   (15) an amino acid residue at position 40 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine or         methionine; and/or     -   (16) an amino acid residue at position 43 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine; and/or     -   (17) an amino acid residue at position 57 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (18) an amino acid residue at position 60 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with valine; and/or     -   (19) an amino acid residue at position 65 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine or         tryptophan; and/or     -   (20) an amino acid residue at position 67 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine or         valine; and/or     -   (21) an amino acid residue at position 69 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (22) an amino acid residue at position 70 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine or         leucine; and/or     -   (23) an amino acid residue at position 71 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glycine; and/or     -   (24) an amino acid residue at position 72 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine; and/or     -   (25) an amino acid residue at position 80 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (26) an amino acid residue at position 84 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (27) an amino acid residue at position 85 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         threonine; and/or     -   (28) an amino acid residue at position 86 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine or         isoleucine; and/or     -   (29) an amino acid residue at position 87 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine, cysteine,         phenylalanine, isoleucine, leucine, methionine, valine or         tryptophan; and/or (30) an amino acid residue at position 90 in         the amino acid sequence shown in SEQ ID NO:1 or at a position         corresponding to this position, is deleted or substituted with         leucine; and/or     -   (31) an amino acid residue at position 91 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (32) an amino acid residue at position 99 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine or         proline; and/or     -   (33) an amino acid residue at position 101 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine or         leucine; and/or     -   (34) an amino acid residue at position 102 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (35) an amino acid residue at position 103 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine,         leucine or methionine; and/or     -   (36) an amino acid residue at position 105 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine,         leucine or tryptophan; and/or     -   (37) an amino acid residue at position 106 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with threonine; and/or     -   (38) an amino acid residue at position 108 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with lysine, arginine         or tryptophan; and/or     -   (39) an amino acid residue at position 111 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (40) an amino acid residue at position 117 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine; and/or     -   (41) an amino acid residue at position 120 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine or lysine;         and/or     -   (42) an amino acid residue at position 119 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with threonine; and/or     -   (43) an amino acid residue at position 126 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with proline; and/or     -   (44) an amino acid residue at position 132 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (45) an amino acid residue at position 141 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with aspartic acid;         and/or     -   (46) an amino acid residue at position 146 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine; and/or     -   (47) an amino acid residue at position 149 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with valine or serine;         and/or     -   (48) an amino acid residue at position 154 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with lysine; and/or     -   (49) an amino acid residue at position 159 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (50) an amino acid residue at position 160 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine;         and/or     -   (51) an amino acid residue at position 162 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with proline, histidine         or asparagine; and/or     -   (52) an amino acid residue at position 175 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glycine, lysine,         proline, glutamine, serine, threonine or tryptophan; and/or     -   (53) an amino acid residue at position 176 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine;         and/or     -   (54) an amino acid residue at position 187 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with threonine; and/or     -   (55) an amino acid residue at position 189 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine; and/or     -   (56) an amino acid residue at position 193 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine,         threonine or valine; and/or     -   (57) an amino acid residue at position 206 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine;         and/or     -   (58) an amino acid residue at position 211 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamic acid;         and/or     -   (59) an amino acid residue at position 213 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with proline or         leucine; and/or     -   (60) an amino acid residue at position 214 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine, threonine         or valine, histidine, glutamic acid, arginine or phenylalanine;         and/or     -   (61) an amino acid residue at position 215 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (62) an amino acid residue at position 216 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (63) an amino acid residue at position 222 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (64) an amino acid residue at position 228 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine, alanine,         proline, threonine or valine; and/or     -   (65) an amino acid residue at position 232 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with valine; and/or     -   (66) an amino acid residue at position 244 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine;         and/or     -   (67) an amino acid residue at position 247 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine; and/or     -   (68) an amino acid residue at position 264 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with aspartic acid;         and/or     -   (69) an amino acid residue at position 278 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine; and/or     -   (70) an amino acid residue at position 284 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with tyrosine or         leucine; and/or     -   (71) an amino acid residue at position 285 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (72) an amino acid residue at position 303 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine or proline;         and/or     -   (73) an amino acid residue at position 305 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         aspartic acid; and/or     -   (74) an amino acid residue at position 306 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine,         arginine or serine; and/or     -   (75) an amino acid residue at position 326 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         proline; and/or     -   (76) an amino acid residue at position 338 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with proline, alanine         or serine; and/or     -   (77) an amino acid residue at position 341 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine; and/or     -   (78) an amino acid residue at position 342 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glycine; and/or     -   (79) an amino acid residue at position 345 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (80) an amino acid residue at position 349 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine; and/or     -   (81) an amino acid residue at position 352 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glycine or         leucine; and/or     -   (82) an amino acid residue at position 375 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (83) an amino acid residue at position 377 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with histidine; and/or     -   (84) an amino acid residue at position 384 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with tyrosine; and/or     -   (85) an amino acid residue at position 386 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (86) an amino acid residue at position 392 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine or         alanine; and/or     -   (87) an amino acid residue at position 395 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (88) an amino acid residue at position 399 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine or         asparagine; and/or     -   (89) an amino acid residue at position 402 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with valine or         histidine; and/or     -   (90) an amino acid residue at position 404 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with tyrosine or         tryptophan; and/or     -   (91) an amino acid residue at position 406 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamine; and/or     -   (92) an amino acid residue at position 414 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (93) an amino acid residue at position 440 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with valine; and/or     -   (94) an amino acid residue at position 443 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (95) an amino acid residue at position 448 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine,         phenylalanine or trypophan; and/or     -   (96) an amino acid residue at position 454 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glycine; and/or     -   (97) an amino acid residue at position 460 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine or         proline; and/or     -   (98) an amino acid residue at position 461 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with valine, asparagine         or methionine; and/or     -   (99) an amino acid residue at position 462 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (100) an amino acid residue at position 484 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         glycine; and/or     -   (101) an amino acid residue at position 488 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         asparagine; and/or     -   (102) an amino acid residue at position 493 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine; and/or     -   (103) an amino acid residue at position 494 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine; and/or     -   (104) an amino acid residue at position 496 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         phenylalaine; and/or     -   (105) an amino acid residue at position 429 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or serine;         and/or     -   (106) an amino acid residue at position 442 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with threonine; and/or     -   (107) an amino acid residue at position 445 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamic acid or         proline; and/or     -   (108) an amino acid residue at position 501 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamic acid,         methionine, glycine or lysine; and/or     -   (109) an amino acid residue at position 502 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (110) an amino acid residue at position 509 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (111) an amino acid residue at position 512 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamic acid,         histidine or serine.

The first part of the present invention also relates to an MDC variant having an amino acid sequence as shown in SEQ ID NO:1 or an amino acid sequence having at least 60% sequence identity to SEQ ID NO: 1, in which one or more amino acid residues at a position selected from the group consisting of positions 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 15, 30, 34, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 117, 119, 120, 126, 132, 146, 154, 159, 160, 162, 175, 176, 187, 189, 193, 206, 211, 213, 214, 215, 216, 222, 228, 232, 244, 247, 264, 278, 284, 285, 303, 305, 306, 326, 338, 341, 342, 345, 349, 352, 375, 377, 384, 386, 392, 395, 399, 402, 404, 406, 414, 429, 440, 442, 443, 445, 448, 454, 460, 461, 462, 484, 488, 493, 494, 496, 501, 502, 509 and 512 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to any of these positions, are substituted with another amino acid residue or deleted, wherein said MDC variant has an improved activity in converting 3-methylcrotonic acid into isobutene and wherein

-   -   (1) an amino acid residue at position 3 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine, glutamic         acid, glycine, lysine, proline, tryptophan, cysteine, aspartic         acid or tyrosine; and/or     -   (2) an amino acid residue at position 4 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamic acid,         leucine, methionine, alanine, serine or asparagine; and/or     -   (3) an amino acid residue at position 5 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine; and/or     -   (4) an amino acid residue at position 6 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with proline; and/or     -   (5) an amino acid residue at position 7 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine; and/or     -   (6) an amino acid residue at position 8 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (7) an amino acid residue at position 9 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with histidine, proline         or tyrosine; and/or     -   (8) an amino acid residue at position 10 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with histidine,         phenylalanine, lysine, proline, threonine or leucine; and/or     -   (9) an amino acid residue at position 11 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine, tyrosine         or proline; and/or     -   (10) an amino acid residue at position 14 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with aspartic acid;         and/or     -   (11) an amino acid residue at position 15 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with threonine; and/or     -   (12) an amino acid residue at position 30 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glycine, histidine         or arginine; and/or     -   (13) an amino acid residue at position 34 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         isoleucine; and/or     -   (14) an amino acid residue at position 40 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine or         methionine; and/or     -   (15) an amino acid residue at position 43 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine; and/or     -   (16) an amino acid residue at position 57 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (17) an amino acid residue at position 60 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with valine; and/or     -   (18) an amino acid residue at position 65 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine or         tryptophan; and/or     -   (19) an amino acid residue at position 67 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine or         valine; and/or     -   (20) an amino acid residue at position 69 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (21) an amino acid residue at position 70 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine or         leucine; and/or     -   (22) an amino acid residue at position 71 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glycine; and/or     -   (23) an amino acid residue at position 72 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine; and/or     -   (24) an amino acid residue at position 80 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (25) an amino acid residue at position 84 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (26) an amino acid residue at position 85 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         threonine; and/or     -   (27) an amino acid residue at position 86 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine or         isoleucine; and/or     -   (28) an amino acid residue at position 87 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine, cysteine,         phenylalanine, isoleucine, leucine, methionine, valine or         tryptophan; and/or     -   (29) an amino acid residue at position 90 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (30) an amino acid residue at position 91 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (31) an amino acid residue at position 99 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine or         proline; and/or     -   (31) an amino acid residue at position 101 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine or         leucine; and/or     -   (33) an amino acid residue at position 102 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (34) an amino acid residue at position 103 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine,         leucine or methionine; and/or     -   (35) an amino acid residue at position 105 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine,         leucine or tryptophan; and/or     -   (36) an amino acid residue at position 106 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with threonine; and/or     -   (37) an amino acid residue at position 108 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with lysine, arginine         or tryptophan; and/or     -   (38) an amino acid residue at position 111 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (39) an amino acid residue at position 117 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine; and/or     -   (40) an amino acid residue at position 120 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine or lysine;         and/or     -   (41) an amino acid residue at position 119 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with threonine; and/or     -   (42) an amino acid residue at position 126 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with proline; and/or     -   (43) an amino acid residue at position 132 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (44) an amino acid residue at position 146 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine; and/or     -   (45) an amino acid residue at position 154 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with lysine; and/or     -   (46) an amino acid residue at position 159 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (47) an amino acid residue at position 160 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine;         and/or     -   (48) an amino acid residue at position 162 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with proline, histidine         or asparagine; and/or     -   (49) an amino acid residue at position 175 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glycine, lysine,         proline, glutamine, serine, threonine or tryptophan; and/or     -   (50) an amino acid residue at position 176 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine;         and/or     -   (51) an amino acid residue at position 187 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with threonine; and/or     -   (52) an amino acid residue at position 189 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine; and/or     -   (53) an amino acid residue at position 193 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine,         threonine or valine; and/or     -   (54) an amino acid residue at position 206 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine;         and/or     -   (55) an amino acid residue at position 211 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamic acid;         and/or     -   (56) an amino acid residue at position 213 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with proline or         leucine; and/or     -   (57) an amino acid residue at position 214 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine, threonine         or valine, histidine, glutamic acid, arginine or phenylalanine;         and/or     -   (58) an amino acid residue at position 215 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (59) an amino acid residue at position 216 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (60) an amino acid residue at position 222 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (61) an amino acid residue at position 228 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine, alanine,         proline, threonine or valine; and/or     -   (62) an amino acid residue at position 232 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with valine; and/or     -   (63) an amino acid residue at position 244 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine;         and/or     -   (64) an amino acid residue at position 247 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine; and/or     -   (65) an amino acid residue at position 264 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with aspartic acid;         and/or     -   (66) an amino acid residue at position 278 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine; and/or     -   (67) an amino acid residue at position 284 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with tyrosine or         leucine; and/or     -   (68) an amino acid residue at position 285 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (69) an amino acid residue at position 303 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine or proline;         and/or     -   (70) an amino acid residue at position 305 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         aspartic acid; and/or     -   (71) an amino acid residue at position 306 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine,         arginine or serine; and/or     -   (72) an amino acid residue at position 326 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         proline; and/or     -   (73) an amino acid residue at position 338 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with proline, alanine         or serine; and/or     -   (74) an amino acid residue at position 341 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with isoleucine; and/or     -   (75) an amino acid residue at position 342 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glycine; and/or     -   (76) an amino acid residue at position 345 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (77) an amino acid residue at position 349 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine; and/or     -   (78) an amino acid residue at position 352 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glycine or         leucine; and/or     -   (79) an amino acid residue at position 375 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (80) an amino acid residue at position 377 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with histidine; and/or     -   (81) an amino acid residue at position 384 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with tyrosine; and/or     -   (82) an amino acid residue at position 386 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (83) an amino acid residue at position 392 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine or         alanine; and/or     -   (84) an amino acid residue at position 395 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (85) an amino acid residue at position 399 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine or         asparagine; and/or     -   (86) an amino acid residue at position 402 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with valine or         histidine; and/or     -   (87) an amino acid residue at position 404 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with tyrosine or         tryptophan; and/or     -   (88) an amino acid residue at position 406 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamine; and/or     -   (89) an amino acid residue at position 414 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (90) an amino acid residue at position 440 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with valine; and/or     -   (91) an amino acid residue at position 443 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (92) an amino acid residue at position 448 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with serine,         phenylalanine or trypophan; and/or     -   (93) an amino acid residue at position 454 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glycine; and/or     -   (94) an amino acid residue at position 460 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with phenylalanine or         proline; and/or     -   (95) an amino acid residue at position 461 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with valine, asparagine         or methionine; and/or     -   (96) an amino acid residue at position 462 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (97) an amino acid residue at position 484 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         glycine; and/or     -   (98) an amino acid residue at position 488 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         asparagine; and/or     -   (99) an amino acid residue at position 493 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine; and/or     -   (100) an amino acid residue at position 494 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with arginine; and/or     -   (101) an amino acid residue at position 496 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or         phenylalaine; and/or     -   (102) an amino acid residue at position 429 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with alanine or serine;         and/or     -   (103) an amino acid residue at position 442 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with threonine; and/or     -   (104) an amino acid residue at position 445 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamic acid or         proline; and/or     -   (105) an amino acid residue at position 501 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamic acid,         methionine, glycine or lysine; and/or     -   (106) an amino acid residue at position 502 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (107) an amino acid residue at position 509 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (108) an amino acid residue at position 512 in the amino acid         sequence shown in SEQ ID NO:1 or at a position corresponding to         this position, is deleted or substituted with glutamic acid,         histidine or serine.

The present invention also relates to an MDC variant having an amino acid sequence as shown in SEQ ID NO:1 or an amino acid sequence having at least 83%, at least 85%, or at least 87%, preferably at least 90% or at least 95%, even more preferred at least 98% sequence identity to SEQ ID NO:1, in which one or more amino acid residues at a position selected from the group consisting of positions 2, 3, 4, 7, 8, 10, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 111, 114, 117, 119, 120, 126, 141, 146, 154, 159, 160, 162, 176, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 381, 384, 386, 388, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 447, 449, 460, 462, 488, 493, 494, 496, 500, 501, 502, 506, 509, and 511 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to any of these positions, are substituted with another amino acid residue or deleted or wherein an insertion has been effected at one or more of these positions and wherein said MDC variant has an improved activity in converting 3-methylcrotonic acid into isobutene.

According to one embodiment, the first part of the present invention relates to any of these MDC variants having an amino acid sequence as shown in SEQ ID NO:1 or an amino acid sequence having at least 83%, at least 85%, or at least 87%, preferably at least 90% or at least 95%, even more preferred at least 98% sequence identity to SEQ ID NO:1 in which

-   (1) an amino acid residue at position 2 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine, aspartic acid,     phenylalanine, lysine, leucine, asparagine, glutamine, cysteine or     valine; and/or -   (2) an amino acid residue at position 3 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine, glutamic acid,     glycine, lysine, proline, tryptophan, aspartic acid or tyrosine;     and/or -   (3) an amino acid residue at position 4 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glutamic acid, leucine,     methionine, alanine, serine or asparagine; and/or -   (4) an amino acid residue at position 7 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with arginine; and/or -   (5) an amino acid residue at position 8 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (6) an amino acid residue at position 10 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with histidine, phenylalanine,     lysine, proline, threonine or leucine; and/or -   (7) an amino acid residue at position 12 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with serine or asparagine or     alanine; and/or -   (8) an amino acid residue at position 13 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with histidine, isoleucine,     asparagine, serine, valine or tyrosine; and/or -   (9) an amino acid residue at position 14 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with aspartic acid; and/or -   (10) an amino acid residue at position 15 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with threonine; and/or -   (11) an amino acid residue at position 25 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine, serine or     tryptophan; and/or -   (12) an amino acid residue at position 29 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine, histidine or     serine; and/or -   (13) an amino acid residue at position 30 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glycine, histidine or     arginine; and/or -   (14) an amino acid residue at position 31 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glutamic acid or glycine or     lysine; and/or -   (15) an amino acid residue at position 33 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine; and/or -   (16) an amino acid residue at position 34 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine or isoleucine;     and/or -   (17) an amino acid residue at position 35 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with methionine, serine or     threonine; and/or -   (18) an amino acid residue at position 40 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine or methionine;     and/or -   (19) an amino acid residue at position 43 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with arginine; and/or -   (20) an amino acid residue at position 57 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (21) an amino acid residue at position 60 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with valine; and/or -   (22) an amino acid residue at position 65 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine or tryptophan;     and/or -   (23) an amino acid residue at position 67 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with arginine or valine; and/or -   (24) an amino acid residue at position 69 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (25) an amino acid residue at position 70 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine or leucine;     and/or -   (26) an amino acid residue at position 71 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glycine; and/or -   (27) an amino acid residue at position 72 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with arginine; and/or -   (28) an amino acid residue at position 80 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (29) an amino acid residue at position 84 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with cysteine; and/or -   (30) an amino acid residue at position 85 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine or threonine;     and/or -   (31) an amino acid residue at position 86 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine or isoleucine;     and/or -   (32) an amino acid residue at position 87 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine, cysteine,     phenylalanine, isoleucine, leucine, methionine, valine or     tryptophan; and/or -   (33) an amino acid residue at position 89 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with serine or phenylalanine;     and/or -   (34) an amino acid residue at position 90 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (35) an amino acid residue at position 91 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (36) an amino acid residue at position 99 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine or proline;     and/or -   (37) an amino acid residue at position 101 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine or leucine;     and/or -   (38) an amino acid residue at position 102 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (39) an amino acid residue at position 103 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine, leucine or     methionine; and/or -   (40) an amino acid residue at position 105 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with phenylalanine, leucine or     tryptophan; and/or -   (41) an amino acid residue at position 111 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with cysteine; and/or -   (42) an amino acid residue at position 117 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine; and/or -   (43) an amino acid residue at position 114 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with serine; and/or -   (44) an amino acid residue at position 119 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with threonine; and/or -   (45) an amino acid residue at position 120 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with serine; and/or -   (46) an amino acid residue at position 126 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with proline; and/or -   (47) an amino acid residue at position 141 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with aspartic acid; and/or -   (48) an amino acid residue at position 146 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with serine; and/or -   (49) an amino acid residue at position 159 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with cysteine; and/or -   (50) an amino acid residue at position 160 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with phenylalanine; and/or -   (51) an amino acid residue at position 162 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with proline, histidine or     asparagine; and/or -   (52) an amino acid residue at position 176 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with phenylalanine; and/or -   (53) an amino acid residue at position 189 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine; and/or -   (54) an amino acid residue at position 193 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine, threonine or     valine; and/or -   (55) an amino acid residue at position 195 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with methionine, cysteine,     phenylalanine, isoleucine, valine, tryptophan or tyrosine; and/or -   (56) an amino acid residue at position 197 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with phenylalanine or     methionine; and/or -   (57) an amino acid residue at position 206 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with phenylalanine; and/or -   (58) an amino acid residue at position 211 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glutamic acid; and/or -   (59) an amino acid residue at position 213 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with proline or leucine; and/or -   (60) an amino acid residue at position 214 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine, threonine,     histidine, glutamic acid, phenylalanine, arginine or valine; and/or -   (61) an amino acid residue at position 215 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with cysteine; and/or -   (62) an amino acid residue at position 216 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (63) an amino acid residue at position 221 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with cysteine; and/or -   (64) an amino acid residue at position 222 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with cysteine; and/or -   (65) an amino acid residue at position 228 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine, alanine, proline,     threonine or valine; and/or -   (66) an amino acid residue at position 232 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with valine; and/or -   (67) an amino acid residue at position 244 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with phenylalanine; and/or -   (68) an amino acid residue at position 247 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine; and/or -   (69) an amino acid residue at position 264 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with aspartic acid; and/or -   (70) an amino acid residue at position 278 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine; and/or -   (71) an amino acid residue at position 284 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with tyrosine or leucine; and/or -   (72) an amino acid residue at position 285 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (73) an amino acid residue at position 293 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (74) an amino acid residue at position 303 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with serine or proline; and/or -   (75) an amino acid residue at position 305 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine or aspartic acid;     and/or -   (76) an amino acid residue at position 306 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with phenylalanine, arginine or     serine; and/or -   (77) an amino acid residue at position 326 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine or proline; and/or -   (78) an amino acid residue at position 337 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with methionine or leucine;     and/or -   (79) an amino acid residue at position 338 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with proline, alanine or serine;     and/or -   (80) an amino acid residue at position 341 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine; and/or -   (81) an amino acid residue at position 342 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glycine; and/or -   (82) an amino acid residue at position 345 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (83) an amino acid residue at position 349 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with serine; and/or -   (84) an amino acid residue at position 352 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glycine or leucine; and/or -   (85) an amino acid residue at position 351 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with arginine, asparagine,     alaine or valine or glycine; and/or -   (86) an amino acid residue at position 375 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (88) an amino acid residue at position 376 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine; and/or -   (89) an amino acid residue at position 381 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with arginine; and/or -   (90) an amino acid residue at position 384 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with tyrosine; and/or -   (91) an amino acid residue at position 386 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (92) an amino acid residue at position 388 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glutamic acid; and/or -   (93) an amino acid residue at position 395 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with cysteine; and/or -   (94) an amino acid residue at position 399 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with arginine or asparagine;     and/or -   (95) an amino acid residue at position 402 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with valine or histidine; and/or -   (96) an amino acid residue at position 404 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with tyrosine or tryptophane;     and/or -   (97) an amino acid residue at position 405 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with phenylalanine, leucine,     methionine, proline or glutamine; and/or -   (98) an amino acid residue at position 406 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glutamine; and/or -   (99) an amino acid residue at position 414 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (100) an amino acid residue at position 420 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (101) an amino acid residue at position 422 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with methionine; and/or -   (102) an amino acid residue at position 429 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine or serine; and/or -   (103) an amino acid residue at position 435 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with methionine; and/or -   (104) an amino acid residue at position 436 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (105) an amino acid residue at position 439 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (106) an amino acid residue at position 440 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with valine; and/or -   (107) an amino acid residue at position 441 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with tyrosine; and/or -   (108) an amino acid residue at position 442 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with threonine; and/or -   (109) an amino acid residue at position 443 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (110) an amino acid residue at position 447 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with tryptophan, methionine or     tyrosine; and/or -   (111) an amino acid residue at position 449 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine, methionine or     valine; and/or -   (112) an amino acid residue at position 460 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with phenylalanine or proline;     and/or -   (113) an amino acid residue at position 462 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (114) an amino acid residue at position 488 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine or asparagine;     and/or -   (115) an amino acid residue at position 493 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with arginine; and/or -   (116) an amino acid residue at position 494 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with arginine; and/or -   (117) an amino acid residue at position 496 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine or phenylalaine;     and/or -   (118) an amino acid residue at position 500 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine; and/or -   (119) an amino acid residue at position 501 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glutamic acid, glycine or     methionine or lysine; and/or -   (120) an amino acid residue at position 502 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (121) an amino acid residue at position 506 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine or tyrosine;     and/or -   (122) an amino acid residue at position 509 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (123) an amino acid residue at position 511 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with methionine or isoleucine.

The invention also relates to variants as defined in (1) to (123) hereinabove, wherein the amino acid residue indicated as substituting the amino acid residue at the position in SEQ ID NO: 1 is not that particular amino acid residue but an amino acid residue which is conservative in relation to the indicated substituting amino acid.

Whether an amino acid is conservative with respect to another amino acid can be judged according to means and methods known in the art and as described herein above. One possibility is the PAM 250 matrix; alternatively, the Blosum Family Matrices can be used.

The first part of the present invention also relates to an MDC variant having an amino acid sequence as shown in SEQ ID NO:1 or an amino acid sequence having at least 95%, preferably at least 97%, even more preferred at least 98% sequence identity to SEQ ID NO: 1, in which one or more amino acid residues at a position selected from the group consisting of positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to any of these positions, are substituted with another amino acid residue or deleted or wherein an insertion has been effected at one or more of these positions and wherein said MDC variant has an improved activity in converting 3-methylcrotonic acid into isobutene.

According to one embodiment, the first part of the present invention relates to any of these MDC variants having an amino acid sequence as shown in SEQ ID NO:1 or an amino acid sequence having at least 95%, preferably at least 97%, even more preferred at least 98% sequence identity to SEQ ID NO:1 in which

-   (1) an amino acid residue at position 2 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine, aspartic acid,     phenylalanine, lysine, leucine, asparagine, glutamine, cysteine or     valine; and/or -   (2) an amino acid residue at position 3 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine, glutamic acid,     glycine, lysine, proline, tryptophan, aspartic acid or tyrosine;     and/or -   (3) an amino acid residue at position 4 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glutamic acid, leucine,     methionine, alanine, serine or asparagine; and/or -   (4) an amino acid residue at position 5 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with serine; and/or -   (5) an amino acid residue at position 6 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with proline; and/or -   (6) an amino acid residue at position 7 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with arginine; and/or -   (7) an amino acid residue at position 8 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (8) an amino acid residue at position 9 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with histidine, proline or     tyrosine; and/or -   (9) an amino acid residue at position 10 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with histidine, phenylalanine,     lysine, proline, threonine or leucine; and/or -   (10) an amino acid residue at position 11 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine, tyrosine or     proline; and/or -   (11) an amino acid residue at position 12 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with serine or asparagine or     alanine; and/or -   (12) an amino acid residue at position 13 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with histidine, isoleucine,     asparagine, serine, valine or tyrosine; and/or -   (13) an amino acid residue at position 14 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with aspartic acid; and/or -   (14) an amino acid residue at position 15 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with threonine; and/or -   (15) an amino acid residue at position 25 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine, serine or     tryptophan; and/or -   (16) an amino acid residue at position 29 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine, histidine or     serine; and/or -   (17) an amino acid residue at position 30 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glycine, histidine or     arginine; and/or -   (18) an amino acid residue at position 31 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glutamic acid or glycine or     lysine; and/or -   (19) an amino acid residue at position 33 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine; and/or -   (20) an amino acid residue at position 34 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine or isoleucine;     and/or -   (21) an amino acid residue at position 35 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with methionine, serine or     threonine; and/or -   (22) an amino acid residue at position 40 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine or methionine;     and/or -   (23) an amino acid residue at position 43 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with arginine; and/or -   (24) an amino acid residue at position 57 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (25) an amino acid residue at position 60 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with valine; and/or -   (26) an amino acid residue at position 65 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine or tryptophan;     and/or -   (27) an amino acid residue at position 67 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with arginine or valine; and/or -   (28) an amino acid residue at position 69 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (29) an amino acid residue at position 70 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine or leucine;     and/or -   (30) an amino acid residue at position 71 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glycine; and/or -   (31) an amino acid residue at position 72 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with arginine; and/or -   (32) an amino acid residue at position 80 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (33) an amino acid residue at position 84 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with cysteine; and/or -   (34) an amino acid residue at position 85 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine or threonine;     and/or -   (35) an amino acid residue at position 86 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine or isoleucine;     and/or -   (36) an amino acid residue at position 87 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine, cysteine,     phenylalanine, isoleucine, leucine, methionine, valine or     tryptophan; and/or -   (37) an amino acid residue at position 89 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with serine or phenylalanine;     and/or -   (38) an amino acid residue at position 90 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (39) an amino acid residue at position 91 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (40) an amino acid residue at position 99 in the amino acid sequence     shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine or proline;     and/or -   (41) an amino acid residue at position 101 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine or leucine;     and/or -   (42) an amino acid residue at position 102 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (43) an amino acid residue at position 103 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine, leucine or     methionine; and/or -   (44) an amino acid residue at position 105 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with phenylalanine, leucine or     tryptophan; and/or -   (45) an amino acid residue at position 106 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with threonine; and/or -   (46) an amino acid residue at position 108 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with lysine, arginine or     tryptophan; and/or -   (47) an amino acid residue at position 111 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with cysteine; and/or -   (48) an amino acid residue at position 117 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine; and/or -   (49) an amino acid residue at position 114 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with serine; and/or -   (50) an amino acid residue at position 119 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with threonine; and/or -   (51) an amino acid residue at position 120 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with serine; and/or -   (52) an amino acid residue at position 126 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with proline; and/or -   (53) an amino acid residue at position 132 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with cysteine; and/or -   (54) an amino acid residue at position 141 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with aspartic acid; and/or -   (55) an amino acid residue at position 146 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with serine; and/or -   (56) an amino acid residue at position 149 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with valine or serine; and/or -   (57) an amino acid residue at position 159 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with cysteine; and/or -   (58) an amino acid residue at position 160 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with phenylalanine; and/or -   (59) an amino acid residue at position 162 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with proline, histidine or     asparagine; and/or -   (60) an amino acid residue at position 175 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glycine, lysine, proline,     glutamine, serine, threonine, or tryptophan; and/or -   (61) an amino acid residue at position 176 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with phenylalanine; and/or -   (62) an amino acid residue at position 187 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with threonine; and/or -   (63) an amino acid residue at position 189 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine; and/or -   (64) an amino acid residue at position 193 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine, threonine or     valine; and/or -   (65) an amino acid residue at position 195 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with methionine, cysteine,     phenylalanine, isoleucine, valine, tryptophan or tyrosine; and/or -   (66) an amino acid residue at position 197 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with phenylalanine or     methionine; and/or -   (67) an amino acid residue at position 206 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with phenylalanine; and/or -   (68) an amino acid residue at position 211 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glutamic acid; and/or -   (69) an amino acid residue at position 213 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with proline or leucine; and/or -   (70) an amino acid residue at position 214 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine, threonine,     histidine, glutamic acid, phenylalanine, arginine or valine; and/or -   (71) an amino acid residue at position 215 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with cysteine; and/or -   (72) an amino acid residue at position 216 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (73) an amino acid residue at position 221 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with cysteine; and/or -   (74) an amino acid residue at position 222 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with cysteine; and/or -   (75) an amino acid residue at position 228 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine, alanine, proline,     threonine or valine; and/or -   (76) an amino acid residue at position 232 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with valine; and/or -   (77) an amino acid residue at position 244 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with phenylalanine; and/or -   (78) an amino acid residue at position 247 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine; and/or -   (79) an amino acid residue at position 264 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with aspartic acid; and/or -   (80) an amino acid residue at position 278 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine; and/or -   (81) an amino acid residue at position 284 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with tyrosine or leucine; and/or -   (82) an amino acid residue at position 285 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (83) an amino acid residue at position 293 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (84) an amino acid residue at position 303 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with serine or proline; and/or -   (85) an amino acid residue at position 305 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine or aspartic acid;     and/or -   (86) an amino acid residue at position 306 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with phenylalanine, arginine or     serine; and/or -   (87) an amino acid residue at position 326 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine or proline; and/or -   (88) an amino acid residue at position 337 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with methionine or leucine;     and/or -   (89) an amino acid residue at position 338 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with proline, alanine or serine;     and/or -   (90) an amino acid residue at position 341 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine; and/or -   (91) an amino acid residue at position 342 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glycine; and/or -   (92) an amino acid residue at position 345 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (93) an amino acid residue at position 349 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with serine; and/or -   (94) an amino acid residue at position 352 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glycine or leucine; and/or -   (95) an amino acid residue at position 351 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with arginine, asparagine,     alaine or valine or glycine; and/or -   (96) an amino acid residue at position 375 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (97) an amino acid residue at position 377 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with histidine; and/or -   (98) an amino acid residue at position 376 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine; and/or -   (99) an amino acid residue at position 381 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with arginine; and/or -   (100) an amino acid residue at position 384 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with tyrosine; and/or -   (101) an amino acid residue at position 386 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (102) an amino acid residue at position 388 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glutamic acid; and/or -   (103) an amino acid residue at position 392 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine or alanine; and/or -   (104) an amino acid residue at position 395 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with cysteine; and/or -   (105) an amino acid residue at position 399 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with arginine or asparagine;     and/or -   (106) an amino acid residue at position 402 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with valine or histidine; and/or -   (107) an amino acid residue at position 404 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with tyrosine or tryptophane;     and/or -   (108) an amino acid residue at position 405 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with phenylalanine, leucine,     methionine, proline or glutamine; and/or -   (109) an amino acid residue at position 406 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glutamine; and/or -   (110) an amino acid residue at position 414 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (111) an amino acid residue at position 420 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (112) an amino acid residue at position 422 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with methionine; and/or -   (113) an amino acid residue at position 429 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine or serine; and/or -   (114) an amino acid residue at position 435 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with methionine; and/or -   (115) an amino acid residue at position 436 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (116) an amino acid residue at position 439 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (117) an amino acid residue at position 440 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with valine; and/or -   (118) an amino acid residue at position 441 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with tyrosine; and/or -   (119) an amino acid residue at position 442 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with threonine; and/or -   (120) an amino acid residue at position 443 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (121) an amino acid residue at position 445 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glutamic acid or proline;     and/or -   (122) an amino acid residue at position 447 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with tryptophan, methionine or     tyrosine; and/or -   (123) an amino acid residue at position 448 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with serine, phenylalanine or     tryptophan; and/or -   (124) an amino acid residue at position 449 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine, methionine or     valine; and/or -   (125) an amino acid residue at position 454 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glycine; and/or -   (126) an amino acid residue at position 460 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with phenylalanine or proline;     and/or -   (127) an amino acid residue at position 461 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with valine, asparagine or     methionine; and/or -   (128) an amino acid residue at position 462 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (129) an amino acid residue at position 484 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine or glycine; and/or -   (130) an amino acid residue at position 488 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine or asparagine;     and/or -   (131) an amino acid residue at position 493 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with arginine; and/or -   (132) an amino acid residue at position 494 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with arginine; and/or -   (133) an amino acid residue at position 496 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine or phenylalaine;     and/or -   (134) an amino acid residue at position 500 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with alanine; and/or -   (135) an amino acid residue at position 501 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with glutamic acid, glycine or     methionine or lysine; and/or -   (136) an amino acid residue at position 502 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with asparagine; and/or -   (137) an amino acid residue at position 506 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with isoleucine or tyrosine;     and/or -   (138) an amino acid residue at position 509 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with leucine; and/or -   (139) an amino acid residue at position 511 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with methionine or isoleucine;     and/or -   (140) an amino acid residue at position 512 in the amino acid     sequence shown in SEQ ID NO:1 or at a position corresponding to this     position, is deleted or substituted with methionine, histidine or     serine.

The invention also relates to variants as defined in (1) to 140) hereinabove, wherein the amino acid residue indicated as substituting the amino acid residue at the position in SEQ ID NO: 1 is not that particular amino acid residue but an amino acid residue which is conservative in relation to the indicated substituting amino acid.

Whether an amino acid is conservative with respect to another amino acid can be judged according to means and methods known in the art and as described herein above. One possibility is the PAM 250 matrix; alternatively, the Blosum Family Matrices can be used.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 405 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position.

Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: T405M, T405F, T405L, T405Q or T405P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 2 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: S2Q, S2A, S2K, S2L, S2V, S2F, or S2N.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 195 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: L195M, L195C, L195I, L195W, L195Y, L195V, or L195F.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 3 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and whereinsuch a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: S3A, S3Y, S3W, S3G, S3P, or S3E.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 449 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position.

Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: L449I, L449M or L449V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 4 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and whereinsuch a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: T4E, T4M, or T4L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 293 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: M293L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 40 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and whereinsuch a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: V40M or V40I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 35 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: D35M, D35T or D35S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 422 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: K422M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 285 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position and whereinsuch a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: A285L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position and whereinsuch a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: Q448W or Q448S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 34 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and whereinsuch a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: V34A or V34I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 12 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: D12S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 500 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: L500A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 351 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: D351R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 214 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position and wherein such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: Q214T, Q214A or Q214V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 9 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and wherein such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: E9Y, E9H or E9P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 447 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: F447W or F447Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 114 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: L114S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 13 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: P13N, P13I, P13Y, P13S or P13H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 11 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and wherein such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: F11P, or F11L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 43 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and wherein such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: D43R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 420 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position.

Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: D420L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 439 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: V439L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 337 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: I337M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 506 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: L506I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 120 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position and wherein such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: P120S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 429 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position and wherein such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: T429S, or T429A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 436 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: T436N.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 435 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: G435M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 149 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position and wherein such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: A149V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 29 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: Q29N, or Q29S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 10 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and wherein such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: A10H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 31 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: N31G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 25 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and wherein such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: E25N.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 501 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position and wherein such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: N501K.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 197 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: I197F.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 146 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position and wherein such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: A146S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 442 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position and wherein such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: D442T.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 445 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position and wherein such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: V445P or V445E.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 33 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: L33I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 381 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position.

Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: A381R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 221 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: L221C.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 141 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position and wherein such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: N141D.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 441 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to this position: F441Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least two deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 3 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 511 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: S3K-L511M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least two deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 4 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 91 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: T4N-F91L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least two deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 3 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 284 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: S3K-M284Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least two deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 2 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 89 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: S2D-E89S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least two deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 31 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 501 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: N31E-N501E.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least two deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 376 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 388 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 377, 381, 384, 386, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: T376I-A388E.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least two deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 29 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 351 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: Q29N-D351N.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least two deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 29 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: Q29N-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least two deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 405 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 420 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 406, 414, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: T405M-D420L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least two deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 351 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 405 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: D351N-T405M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least two deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 29 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 405 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: Q29N-T405M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least two deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 405 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: T405M-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 351 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position, another deletion/insertion/substitution is at position 405 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 445 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: D351R-T405M-V445P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 351 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position, another deletion/insertion/substitution is at position 405 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: D351R-T405M-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 25 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position, another deletion/insertion/substitution is at position 31 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 405 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 29, 30, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-T405M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 29 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position, another deletion/insertion/substitution is at position 405 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 429 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 406, 414, 420, 422, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: Q29N-T405M-T429A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 29 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position, another deletion/insertion/substitution is at position 405 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: Q29N-T405M-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 31 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position, another deletion/insertion/substitution is at position 405 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 445 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: N31G-T405M-V445P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 25 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position, another deletion/insertion/substitution is at position 405 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 429 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 406, 414, 420, 422, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-T405M-T429A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 31 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position, another deletion/insertion/substitution is at position 405 in the amino acid sequence shown in SEQ ID NO:1 or at a position corresponding to this position and another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO: 1 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: N31G-T405M-Q448W.

In other preferred embodiments, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that has multiple mutations. As it is exemplified in the examples further below, variants have been found bearing multiple mutations which exhibit an increase in the reaction rate of the conversion of 3-methylcrotonic acid into isobutene. These variants bearing multiple mutations are summarized in the following: Accordingly, in a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 351, 405, 445, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: D351R-T405M-V445P-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 29, 351, 405, 429, 445, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: Q29N-D351R-T405M-T429A-V445P-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 29, 405, 435, and 445 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-Q29N-T405M-G435M-V445P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 29, 31, 405, 435, and 445 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-Q29N-N31G-T405M-G435M-V445P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 29, 31, 405, and 429 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: Q29H-N31G-T405M-T429A. In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 29, 31, 351, 405, and 445 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-Q29N-N31G-D351R-T405M-V445P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 29, 351, 405, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: Q29N-D351N-T405M-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 31, 351, 405, 429, and 445 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: N31G-D351R-T405M-T429A-V445P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 29, 31, 405, and 429 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-Q29N-N31G-T405M-T429A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 29, 31, 351, 405, and 429 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: Q29N-N31G-D351R-T405M-T429A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 31, 405, 420, 429, 445 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: N31G-T405M-D420L-T429A-V445P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 29, 351, 405, 445, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-Q29H-D351R-T405M-V445P-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 351, 405, 435, 445, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-D351R-T405M-G435M-V445P-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 86, 405, 429, 435, 445, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: S86N-T405M-T429A-G435M-V445P-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 29, 31, 351, 405, and 429 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-Q29N-N31G-D351R-T405M-T429A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 29, 351, 405, 414, 429, 445, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: Q29N-D351R-T405M-D414N-T429A-V445P-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 31, 351, 405, 429, 435, and 445 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: N31G-D351R-T405M-T429A-G435M-V445P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 405, 429, and 445 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-T405M-T429A-V445P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 351, 405, 429, and 445 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-D351R-T405M-T429A-V445P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 405, 429, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-T405M-T429A-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 405, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-T405M-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 29, 405, 429, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-Q29N-T405M-T429A-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 29, 31, 351, 405, 429, 435, and 445 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: Q29N-N31G-D351R-T405M-T429A-G435M-V445P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 31, 405, 420, 429, 445, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: N31G-T405M-D420L-T429A-V445P-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 29, 31, 351, 405, 429, and 445 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: Q29N-N31G-D351G-T405M-T429A-V445P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 29, 405, 429, 435, 445, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: Q29N-T405M-T429A-G435M-V445P-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 29, 31, 405, 429, and 445 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: Q29N-N31G-T405M-T429A-V445P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 435, 445, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-G435M-V445P-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 31, 351, 405, 429, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: N31G-D351R-T405M-T429A-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 12, 29, 31, 405, 429, 445, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: D12N-Q29N-N31G-T405M-T429A-V445P-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 29, 31, 405, 429, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: Q29N-N31G-T405M-T429A-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 405, 429, 445, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-T405M-T429A-V445P-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 405, 429, 435, 445, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-T405M-T429A-G435M-V445P-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 29, 31, 405, 429, 445, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-Q29N-N31G-T405M-T429A-V445P-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 405, 429, 445, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-T405M-T429A-V445P-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 120 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-P120K.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 303 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-H303S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445 and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351G-T405M-T429A-V445P-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 264 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-N264D.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 392 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-R392L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 221 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-L221C.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 305 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-G305A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 44, 448, and 85 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S85A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 214 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-Q214V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 404 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-F404Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 402 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-P402V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 228 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-T228L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 119 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-I119T.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 10 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-A10L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 484 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S484A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 214 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-Q214E.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 214 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-Q214A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 211 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-A211E.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 501 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-N501M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 214 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-Q214F.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 228 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-T228V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 57 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-D57N.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 512 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-D512E.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 484 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S484G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 149 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-A149V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, 3, 86, 162, 384, and 392 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31 G-D351R-T405M-T429A-V445P-Q448W-S3C-S86I-Q162P-T384Y-R392A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, 162, 228, and 392 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31 G-D351R-T405M-T429A-V445P-Q448W-Q162N-T228L-R392A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, 162, and 392 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31 G-D351R-T405M-T429A-V445P-Q448W-Q162N-R392A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, 162, 228, 392, 461, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-Q162N-T228L-R392A-I461V-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, 85, 162, 214, 228, 338, and 461 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S85A-Q162N-Q214H-T228L-G338P-I461V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, 175, 228, 392, 399, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-C175G-T228L-R392A-T399R-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, 85, 162, 175, 228, 338, 399, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S85A-Q162N-C175G-T228L-G338P-T399R-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, 85, 162, 228, 338, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S85A-Q162N-T228L-G338P-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, 85, 162, 175, 228, 338, 399, 461, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S85A-Q162N-C175G-T228L-G338P-T399R-I461V-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, 85, 162, 228, 338, 392, 461, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S85A-Q162N-T228L-G338P-R392A-I461M-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, 162, 228, 338, 392, and 461 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-Q162N-T228L-G338P-R392A-I461V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, 162, 175, 228, 338, 392, 461, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-Q162N-C175G-T228L-G338P-R392A-I461V-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, 85, 175, 228, 338, 392, 399, 461, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S85A-C175G-T228L-G338P-R392A-T399R-I461V-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, 85, 162, 175, 228, 338, 392, 461, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S85A-Q162N-C175G-T228L-G338P-R392A-I461V-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, 228, 338, 392, 461, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31 G-D351R-T405M-T429A-V445P-Q448W-T228L-G338P-R392A-I461V-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, 305, and 402 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31 G-D351R-T405M-T429A-V445P-Q448W-G305A-P402V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, 305, and 404 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31 G-D351R-T405M-T429A-V445P-Q448W-G305A-F404Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, 305, 402, and 404 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31 G-D351R-T405M-T429A-V445P-Q448W-G305A-P402V-F404Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 8 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S8N.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 10 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-A1 OH.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 117 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-N117A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 132 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-V132C.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 175 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-C175G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 175 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-C175K.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 175 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-C175S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 187 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S187T.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 193 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-A193T.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 197 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-I197M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448 and 222 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-A222C.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 228 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-T228A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 247 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-V247A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 342 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-A342G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 399 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-T399N.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 440 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-F440V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 460 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-A460P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 488 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-K488A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 501 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-N501G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 502 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S502N.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, and 506 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-L506Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 15 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P15T.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 30 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-D30G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 30 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-D30H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 30 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-D30R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, 65 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-N65W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 65 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-N65L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 70 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-K70L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 72 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G72R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 80 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P80L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 87 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P87V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 87 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P87I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 90 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-R90L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, 103 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-T103L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 105 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-S105W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494 and 105 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-S105F.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 108 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-D108R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 108 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-D108W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 126 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-I126P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175P-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 176 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-W176F.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 213 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G213L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 213 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G213P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 305 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G305D.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 306 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P306R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 306 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P306S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 326P in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-C326P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338S-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 351, 392, 405, 429, 445, 448, 461, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 341 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-A3411I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351V-R392A-T405M-T429A-V445P-Q448W-I461V-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 402 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P402H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 406 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-I406Q.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461N-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, 103, and 111 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-T103I-D111C.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, 14, and 87 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-E14D-P87A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, 176, and 511 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-W176F-L511I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 352 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25W-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-A352L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 352 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25S-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-A352G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, 278, and 326 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-T278I-C326P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, 341, 386, and 395 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-A341I-G386N-D395C.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 349 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351A-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-C349S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, 7, and 176 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-K7R-W176F.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, 84, and 493 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-R84C-K493R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, 87, and 159 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P87W-K159C.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, 87, 488, and 496 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P87C-K488N-Q496A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, 89, and 496 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-E89F-Q496F.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 377, 402, 404, 405, 429, 445, and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-K377H-P402V-F404Y-T405M-T429A-V445P-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, and 404 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-F404Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, 305, 377, and 404 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G305A-K377H-F404Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, 305, 306, and 404 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G305A-P306F-F404Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, 377, and 404 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-K377H-F404Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, 306, and 404 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P306F-F404Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, 306, and 377 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P306F-K377H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 338, 351, 392, 405, 429, 445, 448, 461, 494, 306, 377, and 404 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P306F-K377H-F404Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 12 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-D12A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 35 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-D35T.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 60 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A60V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 70 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-K70I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 70 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-K70L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 87 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-P87F.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448 and 87 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-P87L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 87 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-P87M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 87 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-P87V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 87 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-P87W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 99 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A99P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 101 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-P101I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 101 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-P101L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 102 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-P102L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 103 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-T103L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 105 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-S105L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 108 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-D108R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 189 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-K89I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 193 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A193I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 215 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-E215C.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 244 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A244F.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 326 in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-C326A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 375 in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-D375L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 443 in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-D443N.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 460 in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A460F.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, 102, and 484 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-P102L-S484A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, 108, and 160 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-D108K-Y160F.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, 11, and 512 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-F11Y-D512S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 351, 405, 429, 445, 448, 85, 103, 162, 175, 228, 338, 392, and 461 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S85T-T103M-Q162H-C175W-T228P-G338A-R392A-I461M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 445, 448, and 87 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-V445P-Q448W-P87F.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions E25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 3 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-S3G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 4 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-T4A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 5 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-T5S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 10 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A1 OF.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 10 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A10P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 10 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A1 OT.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 67 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31 G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-I67R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 67 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31 G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-I67V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 71 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-D71G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 99 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A99N.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 149 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A149S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 154 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-Q154K.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 193 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A193T.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 193 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A193V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 206 in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-Q206F.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 214 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-Q214R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 232 in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A232V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 284 in the amino acid sequence shown in SEQ ID NO: 1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-M284L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 40, 404, 405, 429, 445, 448, and 303 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-H303P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 402, 404, 405, 429, 445, 448, and 462N in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-K462N.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 351, 392, 405, 429, 445, 448, 494, 305, 402, and 404 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-S494R-G305A-P402V-F404Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 351, 392, 405, 429, 445, 448, 461, 494, 305, 402, and 404 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G305A-P402V-F404Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 351, 392, 405, 429, 445, 448, 494, 228, 305, 402, and 404 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-S494R-L228T-G305A-P402V-F404Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 351, 392, 405, 429, 445, 448, 494, 305, 377, 402, and 404 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-S494R-G305A-K377H-P402V-F404Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 351, 392, 405, 429, 445, 448, 461, 494, 228, 305, and 404 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-L228T-G305A-F404Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 351, 392, 405, 429, 445, 448, 461, 494, 305, 377, and 404 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G305A-K377H-F404Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 351, 392, 405, 429, 445, 448, 461, 494, 305, and 404 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G305A-F404Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 351, 392, 405, 429, 445, 448, 461, 494, 305, 377, 402, and 404Y in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G305A-K377H-P402V-F404Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 351, 392, 405, 429, 445, 448, 461, 494, 305, and 377 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G305A-K377H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 461, 494, and 2 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-S2N.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 46, 494, and 10 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-A10K.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 461, 494, and 13 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-P13S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 461, 494, and 69 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-A69N.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 461, 494, and 106 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-A106T.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 461, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175T-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 461, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175K-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 461, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175Q-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 461, 494, and 216 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-E216N.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 461, 494, and 345 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-I345L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 461, 494, and 454 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-S454G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 461, 494, 3, and 509 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-S3D-K509L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 461, 494, 4, and 13 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-T4S-P13V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 461, 494, 6, and 512 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-Y6P-D512H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 461, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405F-T429A-V445P-Q448W-I461V-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 461, 494, and 454 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405F-T429A-V445P-Q448W-I461V-S494R-S454G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 461, 494, and 447 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404W-T405M-T429A-V445P-Q448W-I461V-S494R-F447M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 461, 494, and 337 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-I337L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 461, 494, and 197 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448F-I461V-S494R-I197M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 85, 162, 175, 228, 305, 351, 377, 392, 402, 404, 405, 429, 445, 448, 461, and 494 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448F-I461V-S494R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 377, 402, 404, 405, 429, 445, 448 and 454 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-K377H-P402V-F404Y-T405M-T429A-V445P-Q448W-S454G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 377, 402, 404, 405, 429, 445 and 448 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-K377H-P402V-F404Y-T405F-T429A-V445P-Q448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 31, 305, 351, 377, 402, 404, 405, 429, 445, 448 and 454 in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:1 or at positions corresponding to these positions: E25N-N31G-G305A-D351R-K377H-P402V-F404Y-T405F-T429A-V445P-Q448W-S454G.

Preferably, any of the above described variants having multiple mutations further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO: 1.

In a third aspect of the first part, the present invention provides a variant of a 3-methylcrotonic acid decarboxylase (MDC) showing an improved activity in converting 3-methylcrotonic acid into isobutene over the corresponding MDC from which it is derived, wherein the MDC variant is characterized in that it comprises a substitution, deletion and/or insertion in comparison to the corresponding sequence from which it is derived and wherein this substitution, deletion and/or insertion occurs at position 5 in the following amino acid motif of an MDC: K-X₂-G-x₄-X₅-X₆-H-R-X₉-X₁₀-X₁₁-x₁₂-G,  (SEQ ID NO: 16) wherein the amino acid X₂ at position 2 is an amino acid selected from the group consisting of A, P and V, wherein the amino acid x₄ at position 4 is any amino acid, wherein the amino acid X₅ at position 5 is an amino acid selected from the group consisting of A, P and T, wherein the amino acid X₆ at position 6 is an amino acid selected from the group consisting of F, I and M, wherein the amino acid X₉ at position 9 is an amino acid selected from the group consisting of I and L, wherein the amino acid X₁₀ at position 10 is an amino acid selected from the group consisting of A, I, L and V, wherein the amino acid X₁₁ at position 11 is an amino acid selected from the group consisting of I, L and V, wherein the amino acid x₁₂ at position 12 is any amino acid and wherein the substitution at position 5 does not result in an A, P or T.

In another preferred embodiment, the above variant of a 3-methylcrotonic acid decarboxylase (MDC) is a variant having an amino acid sequence as shown in SEQ ID NO:1 or a sequence which is derived from SEQ ID NO:1 or an amino acid sequence having at least 60% sequence identity to SEQ ID NO: 1 or a sequence which is derived from SEQ ID NO:1, in which one amino acid is substituted, deleted and/or inserted at position 5 in the amino acid motif K-X₂-G-x₄-X₅-X₆-H-R-X₉-X₁₀-X₁₁-x₁₂-G (SEQ ID NO: 15) in the amino acid sequence shown in SEQ ID NO: 1 or a sequence which is derived from SEQ ID NO:1 or at a position corresponding to this position and wherein said MDC variant has an improved activity in converting 3-methylcrotonic acid into isobutene.

The above variant of a 3-methylcrotonic acid decarboxylase (MDC) having an amino acid sequence as shown in SEQ ID NO:1 or a sequence which is derived from SEQ ID NO: 1 is not limited to a specific sequence. A sequence which is derived from SEQ ID NO:1 may be any sequence having the amino acid motif K-X₂-G-x₄-X₅-X₆-H-R-X₉-X₁₀-X₁₁-x₁₂-G (SEQ ID NO:15) and having an activity in converting 3-methylcrotonic acid into isobutene. Examples for sequences which are derived from SEQ ID NO:1, having the amino acid motif K-X₂-G-x₄-X₅-X₆-H-R-X₉-X₁₀-X₁₁-x₁₂-G (SEQ ID NO:15) and having an activity in converting 3-methylcrotonic acid into isobutene, are shown in Table 5.

In a preferred embodiment, the above variant of a 3-methylcrotonic acid decarboxylase (MDC) is a variant wherein an amino acid residue at position 5 in the amino acid motif of an MDC K-X₂-G-x₄-X₅-X₆-H-R-X₉-X₁₀-X₁₁-x₁₂-G (SEQ ID NO:15) is deleted or substituted with an M or F.

In another preferred embodiment, the above variant of a 3-methylcrotonic acid decarboxylase (MDC) is a variant having at least n % sequence identity to an amino acid sequence as shown in the amino acid sequence of a protein having the UniProt accession number selected from the group consisting of the UniProt accession numbers shown in Table 5 with n being an integer between 60 and 100, preferably 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 80, 85, 90, 91, 92, 93, 94, 95, 96, 97, 98 or 99. As regards the determination of the sequence identity, the same applies as has been set forth above.

The present invention of the first part also relates to a method for providing a variant of an MDC wherein said variant shows an improved activity of converting 3-methylcrotonic acid into isobutene, said method comprising the step of effecting one or more changes in the sequence of the MDC wherein said change(s) is/are effected at one or more amino acid positions selected from the group consisting of the amino acid positions corresponding to positions 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 29, 30, 31, 33, 34, 35, 40, 43, 57, 60, 65, 67, 69, 70, 71, 72, 80, 84, 85, 86, 87, 89, 90, 91, 99, 101, 102, 103, 105, 106, 108, 111, 114, 117, 119, 120, 126, 132, 141, 146, 149, 154, 159, 160, 162, 175, 176, 187, 189, 193, 195, 197, 206, 211, 213, 214, 215, 216, 221, 222, 228, 232, 244, 247, 264, 278, 284, 285, 293, 303, 305, 306, 326, 337, 338, 341, 342, 345, 349, 351, 352, 375, 376, 377, 381, 384, 386, 388, 392, 395, 399, 402, 404, 405, 406, 414, 420, 422, 429, 435, 436, 439, 440, 441, 442, 443, 445, 447, 448, 449, 454, 460, 461, 462, 484, 488, 493, 494, 496, 500, 501, 502, 506, 509, 511 and 512 in the amino acid sequence shown in SEQ ID NO:1. “Corresponding to” means corresponding to any of these positions in a related sequence.

As regards the preferred embodiments of an MDC to be mutated according to such a method, the same applies as has been set forth herein-above.

In one preferred embodiment the MDC from which the MDC variant is derived is an MDC which shows the amino acid sequence as shown in SEQ ID NO: 1 or an amino acid sequence having at least 60%, 70%, 80% or 90% sequence identity to SEQ ID NO:1 or any of the preferred degrees of sequence identity as specified herein above.

Moreover, as regards preferred embodiments of the degree of improvement in activity and the changes to be effected, the same applies as described herein above.

The change(s) which is/are effected at any of the above position(s) is/are substitution(s), deletion(s) and/or insertion(s) as defined herein above.

An MDC variant of the first part of the present invention can be fused to a homologous or heterologous polypeptide or protein, an enzyme, a substrate or a tag to form a fusion protein. Fusion proteins in accordance with the present invention will have the same improved activity as the MDC variant of the present invention. Polypeptides, enzymes, substrates or tags that can be added to another protein are known in the art. They may useful for purifying or detecting the proteins of the invention. For instance, tags that can be used for detection and/or purification are e.g. FLAG-tag, His6-tag or a Strep-tag. Alternatively, the protein of the invention can be fused to an enzyme e.g. luciferase, for the detection or localisation of said protein. Other fusion partners include, but are not limited to, bacterial β-galactosidase, trpE, Protein A, β-lactamase, alpha amylase, alcohol dehydrogenase or yeast alpha mating factor. It is also conceivable that the polypeptide, enzyme, substrate or tag is removed from the protein of the invention after e.g. purification. Fusion proteins can typically be made by either recombinant nucleic acid methods or by synthetic polypeptide methods known in art.

The first part of the present invention further relates to a nucleic acid molecule encoding an MDC variant of the present invention and to a vector comprising said nucleic acid molecules. Vectors that can be used in accordance with the present invention are known in the art. The vectors can further comprise expression control sequences operably linked to the nucleic acid molecules of the present invention contained in the vectors. These expression control sequences may be suited to ensure transcription and synthesis of a translatable RNA in bacteria or fungi. Expression control sequences can for instance be promoters. Promoters for use in connection with the nucleic acid molecules of the present invention may be homologous or heterologous with regard to its origin and/or with regard to the gene to be expressed. Suitable promoters are for instance promoters which lend themselves to constitutive expression. However, promoters which are only activated at a point in time determined by external influences can also be used. Artificial and/or chemically inducible promoters may be used in this context.

Preferably, the vector of the present invention is an expression vector. Expression vectors have been widely described in the literature. As a rule, they contain not only a selection marker gene and a replication-origin ensuring replication in the host selected, but also a bacterial or viral promoter, and in most cases a termination signal for transcription. Between the promoter and the termination signal there is in general at least one restriction site or a polylinker which enables the insertion of a coding DNA sequence. The DNA sequence naturally controlling the transcription of the corresponding gene can be used as the promoter sequence, if it is active in the selected host organism. However, this sequence can also be exchanged for other promoter sequences. It is possible to use promoters ensuring constitutive expression of the gene and inducible promoters which permit a deliberate control of the expression of the gene. Bacterial and viral promoter sequences possessing these properties are described in detail in the literature. Regulatory sequences for the expression in microorganisms (for instance E. coli, S. cerevisiae) are sufficiently described in the literature. Promoters permitting a particularly high expression of a downstream sequence are for instance the T7 promoter (Studier et al., Methods in Enzymology 185 (1990), 60-89), lacUV5, trp, trp-lacUV5 (DeBoer et al., in Rodriguez and Chamberlin (Eds), Promoters, Structure and Function; Praeger, New York, (1982), 462-481; DeBoer et al., Proc. Natl. Acad. Sci. USA (1983), 21-25), lp1, rac (Boros et al., Gene 42 (1986), 97-100). Inducible promoters are preferably used for the synthesis of polypeptides. These promoters often lead to higher polypeptide yields than do constitutive promoters. In order to obtain an optimum amount of polypeptide, a two-stage process is often used. First, the host cells are cultured under optimum conditions up to a relatively high cell density. In the second step, transcription is induced depending on the type of promoter used. In this regard, a tac promoter is particularly suitable which can be induced by lactose or IPTG (=isopropyl-ß-D-thiogalactopyranoside) (deBoer et al., Proc. Natl. Acad. Sci. USA 80 (1983), 21-25). Termination signals for transcription are also described in the literature.

In addition, the first part of the present invention relates to a host cell comprising the nucleic acid molecule or the vector of the present invention.

In a preferred embodiment, the host cell according to the presenting invention is a microorganism, in particular a bacterium or a fungus. In a more preferred embodiment, the host cell of the present invention is E. coli, a bacterium of the genus Clostridium or a yeast cell, such as S. cerevisiae. In another preferred embodiment the host cell is a plant cell or a non-human animal cell.

The transformation of the host cell with a vector according to the invention can be carried out by standard methods, as for instance described in Sambrook and Russell (2001), Molecular Cloning: A Laboratory Manual, CSH Press, Cold Spring Harbor, N.Y., USA; Methods in Yeast Genetics, A Laboratory Course Manual, Cold Spring Harbor Laboratory Press, 1990. The host cell is cultured in nutrient media meeting the requirements of the particular host cell used, in particular in respect of the pH value, temperature, salt concentration, aeration, antibiotics, vitamins, trace elements etc.

As mentioned above, the enzymatic conversion of 3-methylcrotonic acid into isobutene utilizing an MDC is preferably performed in the presence of an FMN prenyl transferase and relies on a reaction of two consecutive steps catalyzed by the two enzymes, i.e., the MDC (catalyzing the actual decarboxylation of 3-methylcrotonic acid into isobutene) with an FMN prenyl transferase which provides the modified flavin cofactor. The flavin cofactor may preferably be FMN or FAD. FMN (flavin mononucleotide; also termed riboflavin-5′-phosphate) is a biomolecule produced from riboflavin (vitamin B2) by the enzyme riboflavin kinase and functions as prosthetic group of various reactions. FAD (flavin adenine dinucleotide) is a redox cofactor, more specifically a prosthetic group, involved in several important reactions in metabolism. Thus, in a preferred embodiment, when producing isobutene from 3-methylcrotonic acid comprising the step of incubating an MDC variant of the invention with 3-methylcrotonic acid an FMN prenyl transferase is present which, in a first step, modifies a flavin cofactor (FMN or FAD) into a (modified) flavin-derived cofactor. FMN prenyl transferase prenylates the flavin ring of the flavin cofactor (FMN or FAD) into a (modified) prenylated flavin cofactor. This reaction is schematically illustrated in FIG. 1A.

In a second step, the actual conversion of 3-methylcrotonic acid into isobutene is catalyzed by said MDC variant via a 1,3-dipolar cycloaddition based mechanism wherein said FMN-dependent decarboxylase uses the prenylated flavin cofactor (FMN or FAD) provided by the associated FMN prenyl transferase. This reaction is schematically illustrated in FIG. 1B.

Thus, preferably, the host cell of the present invention is a cell which expresses an FMN prenyl transferase capable of modifying a flavin cofactor (FMN or FAD) into a (modified) flavin-derived cofactor. In a preferred embodiment, the host cell is a cell which naturally (endogenously) expresses an FMN prenyl transferase. In another preferred embodiment, the host cell is a cell which recombinantly expresses an FMN prenyl transferase by, e.g., introducing a nucleic acid molecule encoding an FMN prenyl transferase or a vector comprising such a nucleic acid molecule.

In a preferred embodiment, said FMN prenyl transferase which modifies the flavin cofactor (FMN or FAD) into a (modified) flavin-derived cofactor is a phenylacrylic acid decarboxylase (PAD)-type protein, or the closely related prokaryotic enzyme UbiX, an enzyme which is involved in ubiquinone biosynthesis in prokaryotes.

In Escherichia coli, the protein UbiX (also termed 3-octaprenyl-4-hydroxybenzoate carboxy-lyase) has been shown to be involved in the third step of ubiquinone biosynthesis.

It catalyses the reaction 3-octaprenyl-4-hydroxybenzoate

2-octaprenylphenol+CO₂.

Thus, in a preferred embodiment, the modification of a flavin cofactor (FMN or FAD) into the corresponding (modified) flavin-derived cofactor is catalyzed by the FMN-containing protein phenylacrylic acid decarboxylase (PAD). The enzymes involved in the modification of the flavin cofactor (FMN or FAD) into the corresponding modified flavin-derived cofactor were initially annotated as decarboxylases (EC 4.1.1.-). Some phenylacrylic acid decarboxylases (PAD) are now annotated as flavin prenyl transferases as EC 2.5.1.-.

In a more preferred embodiment, the conversion of 3-methylcrotonic acid into isobutene makes use of a phenylacrylic acid decarboxylase (PAD)-type protein as the FMN prenyl transferase which modifies a flavin cofactor (FMN or FAD) into the corresponding (modified) flavin-derived cofactor wherein said phenylacrylic acid decarboxylase (PAD)-type protein is derived from Candida albicans (Uniprot accession number Q5A8L8), Aspergillus niger (Uniprot accession number A3F715), Saccharomyces cerevisiae (Uniprot accession number P33751) or Cryptococcus gattii (Uniprot accession number E6R9Z0).

In a preferred embodiment, the phenylacrylic acid decarboxylase (PAD)-type protein employed in the method of the present invention is a phenylacrylic acid decarboxylase (PAD)-type protein derived from Candida albicans (Uniprot accession number Q5A8L8; SEQ ID NO:3), Aspergillus niger (Uniprot accession number A3F715; SEQ ID NO:4), Saccharomyces cerevisiae (Uniprot accession number P33751; SEQ ID NO:5) or Cryptococcus gattii (Uniprot accession number E6R9Z0; SEQ ID NO:6) having the amino acid sequence as shown in SEQ ID NO:3, SEQ ID NO:4, SEQ ID NO:5 and SEQ ID NO:6, respectively.

In a preferred embodiment of the present invention the phenylacrylic acid decarboxylase (PAD)-type protein is an enzyme comprising an amino acid sequence selected from the group consisting of SEQ ID NOs: 3 to 6 or a sequence which is at least n % identical to any of SEQ ID NOs: 3 to 6 with n being an integer between 10 and 100, preferably 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 91, 92, 93, 94, 95, 96, 97, 98 or 99 and wherein the enzyme has the enzymatic activity of modifying a flavin cofactor (FMN or FAD) into the corresponding (modified) flavin-derived cofactor. As regards the determination of sequence identity, the same applies as has been set forth above.

In another preferred embodiment, the modification of a flavin cofactor (FMN or FAD) into the corresponding (modified) flavin-derived cofactor is catalyzed by the FMN-containing protein 3-octaprenyl-4-hydroxybenzoate carboxy-lyase also termed UbiX (initially annotated EC 4.1.1.-). As mentioned above, the enzymes involved in the modification of the flavin cofactor (FMN or FAD) into the corresponding modified flavin-derived cofactor were initially annotated as decarboxylases. Some phenylacrylic acid decarboxylases (PAD) are now annotated as flavin prenyl transferases as EC 2.5.1.-.

In a more preferred embodiment, the conversion of 3-methylcrotonic acid into isobutene makes use of a 3-octaprenyl-4-hydroxybenzoate carboxy-lyase (also termed UbiX) as the FMN prenyl transferase which modifies the flavin cofactor (FMN or FAD) into the corresponding (modified) flavin-derived cofactor wherein said 3-octaprenyl-4-hydroxybenzoate carboxy-lyase (also termed UbiX) is derived from Escherichia coli (Uniprot accession number P0AG03), Bacillus subtilis (Uniprot accession, number A0A086WXG4), Pseudomonas aeruginosa (Uniprot accession number A0A072ZCW8) or Enterobacter sp. DC4 (Uniprot accession number W7P6B1).

In an even more preferred embodiment, the 3-octaprenyl-4-hydroxybenzoate carboxy-lyase (also termed UbiX) employed in the method of the present invention is a 3-octaprenyl-4-hydroxybenzoate carboxy-lyase (also termed UbiX) derived from Escherichia coli (Uniprot accession number P0AG03; SEQ ID NO:2), Bacillus subtilis (Uniprot accession, number A0A086WXG4; SEQ ID NO:7), Pseudomonas aeruginosa (Uniprot accession number A0A072ZCW8; SEQ ID NO:8) or Enterobacter sp. DC4 (Uniprot accession number W7P6B1; SEQ ID NO:9) having the amino acid sequence as shown in SEQ ID NO:2, SEQ ID NO:7, SEQ ID NO:8 and SEQ ID NO:9, respectively.

In a preferred embodiment of the present invention the 3-octaprenyl-4-hydroxybenzoate carboxy-lyase is an enzyme comprising an amino acid sequence selected from the group consisting of SEQ ID NOs: 2 and 7 to 9 or a sequence which is at least n % identical to any of SEQ ID NOs: 2 and 7 to 9 with n being an integer between 10 and 100, preferably 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 91, 92, 93, 94, 95, 96, 97, 98 or 99 and wherein the enzyme has the enzymatic activity of modifying a flavin cofactor (FMN or FAD) into the corresponding (modified) flavin-derived cofactor. As regards the determination of the sequence identity, the same applies as has been set forth above.

The first part of the present invention also relates to a method for producing isobutene from 3-methylcrotonic acid comprising the step of incubating an MDC variant of the invention with 3-methylcrotonic acid under conditions allowing said conversion (preferably further in the presence of an FMN prenyl transferase as described above) or comprising the step of culturing a host cell of the present invention expressing an MDC variant (and preferably further expressing an FMN prenyl transferase as described above) in a suitable medium and recovering the produced isobutene.

It is also conceivable in this context that in such a method not only one enzyme according to the present invention is employed but a combination of two or more enzymes.

The first part of the present invention also relates to the use of an MDC variant or a host cell of the present invention as described above for the conversion of 3-methylcrotonic acid into isobutene, preferably in the presence of an FMN prenyl transferase or in the presence of a host co-expressing an FMN prenyl transferase as described herein above. Moreover, in a further embodiment, the present invention relates to a method for producing isobutene from 3-methylcrotonic acid by bringing 3-methylcrotonic acid into contact with the MDC variant of the present invention, preferably in the presence of an FMN prenyl transferase, or with a host cell comprising a nucleic acid molecule encoding the MDC variant of the present invention, wherein said host cell preferably expresses an FMN prenyl transferase. Thus, in a preferred embodiment, the present invention relates to a method for converting 3-methylcrotonic acid into isobutene comprising the steps of: (i) culturing the above-described host cell of the invention in a suitable medium; and (ii) achieving the production of isobutene from 3-methylcrotonic acid.

Thus, in a preferred embodiment, the present invention relates to methods and uses utilizing a host cell of the present invention which expresses an MDC variant of the present invention and, preferably, further expressing an FMN prenyl transferase as described herein above.

In another preferred embodiment, such a host cell is an organism which is capable of producing 3-methylcrotonic acid.

In another preferred embodiment, the method according to the invention is carried out in culture, in the presence of an organism, preferably a microorganism, producing an enzyme variant of the present invention and, preferably, also producing an FMN prenyl transferase. In such an embodiment of the invention, an organism, preferably a microorganism, that produces an enzyme of the present invention and, preferably, also producing an FMN prenyl transferase, is used. In a preferred embodiment, the (micro)organism is recombinant in that the enzyme produced by the host is heterologous relative to the production host. The method can thus be carried out directly in the culture medium, without the need to separate or purify the enzymes. In an especially advantageous manner, a (micro)organism is used having the natural or artificial property of endogenously producing 3-methylcrotonic acid so as to produce isobutene directly from the substrate already present in the culture in solution.

In connection with the above described methods and uses, the microorganisms are cultivated under suitable culture conditions allowing the occurrence of the enzymatic reaction of the MDC variants of the present invention (and, preferably, also the FMN prenyl transferases as described above). The specific culture conditions depend on the specific microorganism employed but are well known to the person skilled in the art. The culture conditions are generally chosen in such a manner that they allow the expression of the genes encoding the MDC variant of the present invention (and, preferably, also an FMN prenyl transferase as described above). Various methods are known to the person skilled in the art in order to improve and fine-tune the expression of certain genes at certain stages of the culture such as induction of gene expression by chemical inducers or by a temperature shift.

In another embodiment, the above described methods of the invention comprise the step of providing the organism, preferably the microorganism carrying the respective enzyme activity or activities in the form of a (cell) culture, preferably in the form of a liquid cell culture, a subsequent step of cultivating the organism, preferably the microorganism in a fermenter (often also referred to a bioreactor) under suitable conditions allowing the expression of the respective enzyme and further comprising the step of effecting an enzymatic conversion of a method of the invention as described herein above. Suitable fermenter or bioreactor devices and fermentation conditions are known to the person skilled in the art. A bioreactor or a fermenter refers to any manufactured or engineered device or system known in the art that supports a biologically active environment. Thus, a bioreactor or a fermenter may be a vessel in which a chemical/biochemical process like the method of the present invention is carried out which involves organisms, preferably microorganisms and/or biochemically active substances, i.e., the enzyme(s) described above derived from such organisms or organisms harboring the above described enzyme(s). In a bioreactor or a fermenter, this process can either be aerobic or anaerobic. These bioreactors are commonly cylindrical, and may range in size from litres to hundreds of cubic meters, and are often made of stainless steel. In this respect, without being bound by theory, the fermenter or bioreactor may be designed in a way that it is suitable to cultivate the organisms, preferably microorganisms, in, e.g., a batch-culture, feed-batch-culture, perfusion culture or chemostate-culture, all of which are generally known in the art.

The culture medium can be any culture medium suitable for cultivating the respective organism or microorganism.

In yet a further embodiment, the method according to the invention can be carried out in vitro, e.g. in the presence of isolated enzyme or of cell lysates comprising the enzyme or partially purified enzyme preparations comprising the MDC variant of the present invention (and, preferably, also an FMN prenyl transferase as described above). In vitro preferably means in a cell-free system.

In one embodiment, the enzyme(s) employed in the method is (are) used in purified form. However, such a method may be costly, since enzyme and substrate production and purification costs are high. Thus, in another preferred embodiment, the enzymes employed in the method are present in the reaction as a non-purified extract, or else in the form of non-lysed bacteria, so as to economize on protein purification costs. However, the costs associated with such a method may still be quite high due to the costs of producing and purifying the substrates.

In an in vitro reaction the enzymes, native or recombinant, purified or not, are incubated in the presence of the substrate in physicochemical conditions allowing the enzymes to be active, and the incubation is allowed to proceed for a sufficient period of time allowing production of the desired product as described above. At the end of the incubation, one optionally measures the presence of isobutene by using any detection system known to one of skill in the art such as gas chromatography or colorimetric tests for measuring the formation of isobutene.

In a particularly preferred embodiment of the invention the method is carried out in vitro and the enzyme is immobilized. Means and methods for immobilizing enzymes on different supports are well-known to the person skilled in the art.

The method according to the invention furthermore comprises the step of collecting gaseous products, i.e. isobutene, degassing out of the reaction, i.e. recovering the product which degasses, e.g., out of the culture. Thus, in a preferred embodiment, the method is carried out in the presence of a system for collecting isobutene under gaseous form during the reaction.

As a matter of fact, isobutene adopts the gaseous state at room temperature and atmospheric pressure. Moreover, isobutene also adopts the gaseous state under culture conditions at 37° C. The method according to the invention therefore does not require extraction of isobutene from the liquid culture medium, a step which is always very costly when performed at industrial scale. The evacuation and storage of gaseous hydrocarbons, in particular of isobutene, and their possible subsequent physical separation and chemical conversion can be performed according to any method known to one of skill in the art.

Finally, the first part of the present invention relates to a composition comprising a variant of an MDC of the present invention, a nucleic acid molecule of the present invention, a vector of the present invention or a host cell of the present invention. As regards the variant of an MDC, the nucleic acid molecule, the vector or the host cell, the same applies as has been set forth above in connection with the methods according to the present invention.

As outlined above, methods for the production of isobutene comprising the enzymatic conversion of 3-methylcrotonic acid into isobutene utilizing the above enzymes has previously been described wherein corresponding enzymes have artificially been implemented in a pathway which ultimately leads to the production of isobutene (WO 2017/085176). In WO 2017/085176 FMN-dependent decarboxylase enzymes catalysing the decarboxylation of 3-methylcrotonic acid into isobutene have been described which belong to the 3-polyprenyl-4-hydroxybenzoate decarboxylase (UbiD) family of enzymes while, inter alia, an UbiD enzyme derived from Hypocrea atroviridis (UniProt Accession number Q9NLP8) has been described.

Moreover, as outlined above, the present invention relates in several aspects to improved variants of enzymes which are capable of converting 3-methylcrotonic acid into isobutene have been descried while the above FDC of Hypocrea atroviridis has been used as a model enzyme. These aspects are also disclosed in WO 2017/191239.

Although the above means and methods allow to produce isobutene from 3-methylcrotonic acid while means and methods which allow to increase the production of isobutene from 3-methylcrotonic acid have already been described, there is still a need for further improvements, in particular as regards a further increase in efficiency of the process so as to make it more suitable for industrial purposes.

The present application addresses this need by providing in a second part the embodiments as defined in the following items (14) to (26).

-   14. A variant of a 3-methylcrotonic acid decarboxylase (MDC) showing     an improved activity in converting 3-methylcrotonic acid into     isobutene over the corresponding MDC from which it is derived and     having an amino acid sequence as shown in SEQ ID NO: 14 or an amino     acid sequence having at least 63% sequence identity to SEQ ID NO:14,     in which one or more amino acid residues at a position selected from     the group consisting of positions 448, 2, 3, 5, 6, 24, 25, 35, 36,     64, 74, 80, 85, 86, 126, 129, 154, 166, 175, 195, 196, 197, 198,     204, 208, 214, 236, 237, 238, 240, 277, 298, 302, 339, 343, 347,     350, 359, 366, 368, 390, 391, 394, 395, 396, 398, 401, 402, 403,     404, 405, 406, 407, 408, 426, 439, 440, 441, 442, 444, 446, 447,     449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462     and 473 in the amino acid sequence shown in SEQ ID NO: 14 or at a     position corresponding to any of these positions, are substituted     with another amino acid residue or deleted or wherein an insertion     has been effected at one or more of these positions. -   15. The MDC variant of item 14, wherein     -   (1) an amino acid residue at position 2 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (2) an amino acid residue at position 3 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with leucine or         methionine; and/or     -   (3) an amino acid residue at position 5 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with isoleucine; and/or     -   (4) an amino acid residue at position 6 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with methionine; and/or     -   (5) an amino acid residue at position 24 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with alanine, aspartic         acid, leucine or valine; and/or     -   (6) an amino acid residue at position 25 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with glutamic acid;         and/or     -   (7) an amino acid residue at position 35 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with isoleucine; and/or     -   (8) an amino acid residue at position 36 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with tyrosine; and/or     -   (9) an amino acid residue at position 64 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with histidine;         and/or     -   (10) an amino acid residue at position 74 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with valine; and/or     -   (11) an amino acid residue at position 80 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with serine; and/or     -   (12) an amino acid residue at position 85 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (13) an amino acid residue at position 86 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with asparagine or         tyrosine; and/or     -   (14) an amino acid residue at position 126 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with valine; and/or     -   (15) an amino acid residue at position 129 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with valine; and/or     -   (16) an amino acid residue at position 154 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with aspartic acid;         and/or     -   (17) an amino acid residue at position 166 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with aspartic acid;         and/or     -   (18) an amino acid residue at position 175 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with glutamic acid;         and/or     -   (19) an amino acid residue at position 195 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with isoleucine or         valine; and/or     -   (20) an amino acid residue at position 196 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with isoleucine;         and/or     -   (21) an amino acid residue at position 197 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with valine; and/or     -   (22) an amino acid residue at position 198 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with glutamine or         tryptophan; and/or     -   (23) an amino acid residue at position 204 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with arginine or         serine; and/or     -   (24) an amino acid residue at position 208 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with leucine; and/or     -   (25) an amino acid residue at position 214 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with threonine; and/or     -   (26) an amino acid residue at position 236 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with leucine or valine;         and/or     -   (27) an amino acid residue at position 237 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         aspartic acid, asparagine or proline; and/or     -   (28) an amino acid residue at position 238 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with histidine,         arginine, serine or tryptophan; and/or     -   (29) an amino acid residue at position 240 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with isoleucine or         asparagine; and/or     -   (30) an amino acid residue at position 277 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with tyrosine;         and/or     -   (31) an amino acid residue at position 298 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with serine; and/or     -   (32) an amino acid residue at position 302 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         cysteine, phenylalanine, lysine, methionine, glutamine, arginine         or serine; and/or     -   (33) an amino acid residue at position 339 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with histidine;         and/or     -   (34) an amino acid residue at position 343 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with serine; and/or     -   (35) an amino acid residue at position 347 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with cysteine;         and/or     -   (36) an amino acid residue at position 350 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with serine; and/or     -   (37) an amino acid residue at position 359 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with cysteine or         valine; and/or     -   (38) an amino acid residue at position 366 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with isoleucine or         phenylalanine; and/or     -   (39) an amino acid residue at position 368 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with isoleucine or         methionine; and/or     -   (40) an amino acid residue at position 390 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with serine,         aspartic acid, leucine, asparagine or glutamine; and/or     -   (41) an amino acid residue at position 391 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with aspartic acid         or tryptophan; and/or     -   (42) an amino acid residue at position 394 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with cysteine,         aspartic acid, glutamine or threonine; and/or     -   (43) an amino acid residue at position 395 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with cysteine,         glutamic acid or valine; and/or     -   (44) an amino acid residue at position 396 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with isoleucine;         and/or     -   (45) an amino acid residue at position 398 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with cysteine or         arginine; and/or     -   (46) an amino acid residue at position 401 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with tyrosine;         and/or     -   (47) an amino acid residue at position 402 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine; and/or     -   (48) an amino acid residue at position 403 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         cysteine, glycine, histidine, isoleucine, asparagine, proline,         glutamine, arginine or valine; and/or     -   (49) an amino acid residue at position 404 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with phenylalanine,         leucine or methionine; and/or     -   (50) an amino acid residue at position 405 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with histidine,         isoleucine, methionine, threonine or valine; and/or     -   (51) an amino acid residue at position 406 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with glycine,         alanine or serine; and/or     -   (52) an amino acid residue at position 407 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         cysteine, isoleucine, lysine, arginine, serine or threonine;         and/or     -   (53) an amino acid residue at position 408 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with isoleucine,         alanine, cysteine, leucine, or methionine; and/or     -   (54) an amino acid residue at position 426 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with valine; and/or     -   (55) an amino acid residue at position 439 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with cysteine;         and/or     -   (56) an amino acid residue at position 440 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with leucine; and/or     -   (57) an amino acid residue at position 441 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with glycine,         histidine, lysine, asparagine, proline, arginine, serine or         threonine; and/or     -   (58) an amino acid residue at position 442 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         cysteine, glutamic acid, glycine, histidine, leucine,         methionine, asparagine, glutamine, arginine, serine or         threonine; and/or     -   (59) an amino acid residue at position 444 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         glutamic acid, phenylalanine, histidine, isoleucine, leucine,         glutamine or threonine; and/or     -   (60) an amino acid residue at position 446 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         cysteine, phenylalanine, isoleucine, methionine, asparagine,         serine or valine; and/or     -   (61) an amino acid residue at position 447 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with glutamine; and/or     -   (62) an amino acid residue at position 448 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with phenylalanine,         tryptophan or tyrosine; and/or     -   (63) an amino acid residue at position 449 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with isoleucine,         methionine or valine; and/or     -   (64) an amino acid residue at position 450 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         histidine, methionine, asparagine, glutamine, serine or valine;         and/or     -   (65) an amino acid residue at position 451 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with asparagine or         serine; and/or     -   (66) an amino acid residue at position 452 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with phenylalanine;         and/or     -   (67) an amino acid residue at position 453 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with cysteine,         glycine, leucine, asparagine, proline, arginine or serine;         and/or     -   (68) an amino acid residue at position 454 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         aspartic acid, glycine, histidine, lysine, leucine, methionine,         glutamine, arginine, serine, threonine, valine or tryptophan;         and/or     -   (69) an amino acid residue at position 455 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         glutamic acid, histidine, lysine, asparagine, serine or valine;         and/or     -   (70) an amino acid residue at position 456 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with glutamine;         and/or     -   (71) an amino acid residue at position 457 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with lysine; and/or     -   (72) an amino acid residue at position 458 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with glutamic acid,         phenylalanine, glycine, leucine, methionine, asparagine,         glutamine, arginine, serine or tyrosine; and/or     -   (73) an amino acid residue at position 459 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with aspartic acid,         glutamic acid, glycine, methionine, asparagine, glutamine,         arginine, threonine or tyrosine; and/or     -   (74) an amino acid residue at position 460 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with glutamic acid,         phenylalanine, glycine, leucine, methionine, asparagine,         glutamine or arginine; and/or     -   (75) an amino acid residue at position 461 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         glycine, leucine, methionine, glutamine, serine or valine;         and/or     -   (76) an amino acid residue at position 462 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with cysteine or         valine; and/or     -   (77) an amino acid residue at position 473 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with serine. -   16. The MDC variant of item 14 or 15, wherein in said variant one or     more further amino acid residues at a position selected from the     group consisting of 66, 168, 241, 296, 305, 349, 363, 443, 445, 479,     and 496 in the amino acid sequence shown in SEQ ID NO: 14 or at a     position corresponding to any of these positions, are substituted     with another amino acid residue or deleted or wherein an insertion     has been effected at one or more of these positions, and wherein     said MDC variant has an improved activity in converting     3-methylcrotonic acid into isobutene over the corresponding MDC from     which it is derived. -   17. The MDC variant of any one of items 14 to 16, wherein     -   (78) an amino acid residue at position 66 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with histidine;         and/or     -   (79) an amino acid residue at position 168 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with valine; and/or     -   (80) an amino acid residue at position 241 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with aspartic acid,         asparagine or valine; and/or     -   (81) an amino acid residue at position 296 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with glutamine; and/or     -   (82) an amino acid residue at position 305 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with isoleucine or         threonine; and/or     -   (83) an amino acid residue at position 349 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with methionine or         serine; and/or     -   (84) an amino acid residue at position 363 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with glycine; and/or     -   (85) an amino acid residue at position 443 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         aspartic acid, phenylalanine, histidine, leucine, asparagine,         arginine, serine, tryptophan or tyrosine; and/or     -   (86) an amino acid residue at position 445 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with leucine,         alanine, cysteine, serine or threonine; and/or     -   (87) an amino acid residue at position 479 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with cysteine,         isoleucine, leucine, methionine, serine, threonine or valine;         and/or     -   (88) an amino acid residue at position 496 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with leucine. -   18. A nucleic acid molecule encoding the MDC variant of any one of     items 14 to 17. -   19. A host cell comprising the nucleic acid molecule of item 18. -   20. A vector comprising the nucleic acid molecule of item 18. -   21. A host cell comprising the vector of item 20. -   22. Use of the MDC variant of any one of items 14 to 17 or the host     cell of item 19 or 21 or the vector of item 20 for the conversion of     3-methylcrotonic acid into isobutene. -   23. A method for producing isobutene from 3-methylcrotonic acid by     incubating 3-methylcrotonic acid with the MDC variant of any one of     items 14 to 17, or the host cell of item 19 or 21 or the vector of     item 20. -   24. The method of item 23, wherein the enzymatic conversion is     carried out in vitro or by a host cell expressing the nucleic acid     molecule. -   25. A composition comprising the MDC variant of any one of items 14     to 17 or the host cell of item 19 or 21 or the vector of item 20. -   26. A composition comprising the MDC variant of any one of items 14     to 17 or the host cell of item 19 or 21 or the vector of item 20 and     3-methylcrotonic acid.

In a first aspect of the second part of the present invention, the present invention provides a variant of a 3-methylcrotonic acid decarboxylase (MDC) showing an improved activity in converting 3-methylcrotonic acid into isobutene over the corresponding MDC from which it is derived.

An improved enzyme variant or an enzyme variant capable of catalyzing a reaction with increased activity is defined as an enzyme variant which differs from the wildtype enzyme and which catalyzes the conversion of 3-methylcrotonic acid into isobutene so that the specific activity of the enzyme variant is higher than the specific activity of the wildtype enzyme for at least one given concentration of a 3-methylcrotonic acid (preferably any 3-methylcrotonic acid higher than 0 M and up to 1 M). A specific activity is defined as the number of moles of substrate converted to moles of product by unit of time by mole of enzyme. K_(cat) (turnover number) is the specific activity at saturating concentration of substrate.

In particular, in accordance with this first aspect of the second part of the present invention, the present invention provides enzymes which are capable of converting 3-methylcrotonic acid into isobutene with a turnover rate of at least 1×10⁻³ s⁻¹ of 3-methylcrotonic acid into isobutene. Such enzymes can be provided by effecting mutations at specific positions in an 3-methylcrotonic acid decarboxylase (MDC) and the variants obtained by effecting such mutations show an improved activity in catalyzing the conversion of 3-methylcrotonic acid into isobutene. In a preferred embodiment, the enzyme is capable of converting 3-methylcrotonic acid into isobutene with a turnover rate of at least 2×10⁻³ s⁻¹ of 3-methylcrotonic acid into isobutene and in a particularly preferred embodiment of at least 4×10⁻³ s⁻¹. In a most preferred embodiment, the enzyme has a turnover rate of at least 10×10⁻³ s⁻¹ or at least 1 s⁻¹, or at least 10 s⁻¹ and even more preferably of at least 100 s⁻¹ of 3-methylcrotonic acid into isobutene. The corresponding wild-type enzyme has a turnover rate of about 1×10⁻³ s⁻¹ of 3-methylcrotonic acid into isobutene.

In the context of the present invention, an “improved activity” means that the activity of the enzyme in question is at least 10%, preferably at least 20%, more preferably at least 30% or 50%, even more preferably at least 70% or 80% and particularly preferred at least 90% or 100% higher than that of the enzyme from which the variant is derived, preferably higher than that of the enzyme represented by SEQ ID NO: 14. In even more preferred embodiments the improved activity may be at least 150%, at least 200%, at least 300%, at least 750% or at least 1000% higher than that of the corresponding enzyme from which the variant is derived, preferably higher than that of the enzyme represented by SEQ ID NO: 14. In a particularly preferred embodiment, the activity is measured by using an assay with purified enzyme and chemically synthesized substrates, as described below. The improved activity of a variant can be measured as a higher isobutene production in a given time under defined conditions, compared with the parent enzyme. This improved activity can result from a higher turnover number, e.g. a higher kcat value. It can also result from a lower Km value. It can also result from a higher kcat/Km value. Finally, it can result from a higher solubility, or stability of the enzyme. The degree of improvement can be measured as the improvement in isobutene production. The degree of improvement can also be measured in terms of kcat improvement, of kcat/Km improvement, or in terms of Km decrease, in terms of soluble protein production or in terms of protein stability.

In another embodiment, the enzyme variants which the present invention provides are capable of converting 3-methylcrotonic acid into isobutene with an activity which is at least 1.25 times as high compared to the turnover rate of the corresponding wild type enzyme having the amino acid sequence as shown in SEQ ID NO: 14. In a more preferred embodiment, the enzyme variants which are capable of converting 3-methylcrotonic acid into isobutene have a turnover rate (i.e., a k_(cat)-value) which is at least 2 times, at least 3 times, at least 5 times or even at least 10 times as high compared to the turnover rate of the corresponding wild type enzyme having the amino acid sequence as shown in SEQ ID NO: 14. In even more preferred embodiments, the turnover rate is at least 100 times or even at least 500 times as high compared to that of the corresponding wild type enzyme having the amino acid sequence as shown in SEQ ID NO:14.

Such enzyme variants are obtained by effecting mutations at specific positions in the amino acid sequence of an MDC and the variants obtained by effecting such mutations show an improved activity in catalyzing the conversion of 3-methylcrotonic acid into isobutene. The activity of an enzyme capable of converting 3-methylcrotonic acid into isobutene may be determined by methods known to the person skilled in the art. In one embodiment, this activity is determined as described in the Examples appended hereto. In a particular embodiment this activity can be measured by incubating the enzyme, preferably a cell lysate containing the overexpressed recombinant protein, in vitro. Alternatively, a purified enzyme can be used or an in vivo assay.

More specifically, the activity of the MDC variants for the conversion of 3-methylcrotonic acid into isobutene can be assessed by an enzymatic in vitro assay based on purified proteins and on the detection of isobutene by gas chromatography. The turnover rate of the enzyme to be assessed may be examined as outlined in the following: Michaelis-Menten k_(cat) and Km steady state kinetic constants for the reaction of conversion of 3-methylcrotonic acid into isobutene may be determined using the following protocol:

The enzymatic assay for quantifying the conversion of 3-methylcrotonic acid into isobutene is carried out in a 2 ml glass vial at 30° C. in a 50 mM potassium phosphate pH 7.5 buffer; 20 mM NaCl, 3 mM MgCl₂, 5 mM DTT, 0.5 mg/ml of a purified enzyme of the MDC variant to be tested, 100 μl of a lysate containing a FMN prenyltransferase (i.e., a Flavin prenyltransferase UbiX protein from E. coli expressed and prepared as outlined further below) as well as different concentrations of the substrate 3-methylcrotonic acid ranging from 0 to 128 mM. A control without an MDC enzyme is performed in parallel. After 60 minutes, the reaction is stopped by incubating at 80° C. for 2 min. The rate of isobutene production is quantified by gas chromatography as follows.

The isobutene formed in the reaction headspace is analysed by gas chromatography (GC) equipped with a flame ionization detector (FID). For the GC headspace analysis, one ml of the headspace gas is separated in a Bruker GC-450 system equipped with a GS-alumina column (30 m×0.53 mm) (Agilent) using isothermal mode at 130° C. Nitrogen is used as carrier gas with a flow rate of 6 ml/min. The enzymatic reaction product is identified by comparison with an isobutene standard. Under these GC conditions, the retention time of isobutene is 2.42 min. From the rate of isobutene production, and using the Michaelis-Menten approximation, the enzyme catalytic efficiency can then be computed. The production rates of isobutene (mole of PV/mole enzyme/sec) are plotted as a function of the concentration of 3-methylcrotonic acid and the curve is fitted using the Michaelis Menten equation (V=(V_(max)*(substrate))/(K_(m)+(substrate))) to extract the k_(cat) (s⁻¹) and the K_(m) values (mM).

The MDC variant to be tested can be provided according to the following protocol: The MDC to be tested is subcloned into the pETDuet™-1 co-expression vector. The vector contains a stretch of 6 histidine codons after the methionine initiation codon of the ferulic acid decarboxylases in order to provide an affinity tag for purification.

Competent E. coli BL21 (DE3) cells (Novagen) are transformed with this vector according to standard heat shock procedures and plated out onto LB-agar plates supplemented with the appropriate antibiotic. Cells are grown overnight at 30° C. until individual colonies reach the desired size. A single colony is then picked and individually transferred into 5 ml of liquid LB medium supplemented with the appropriate antibiotic. Cell growth is carried out with shaking for 16 hours at 30° C. The LB culture of the transformed cells is used to inoculate a culture using ZYM-5052 auto-induction medium (Studier F W, Prot. Exp. Pur. 41, (2005), 207-234) and the culture is grown with shaking (160 rpm) at 30° C. during 24 h. The cells are collected by centrifugation at 4° C., 10,000 rpm for 20 min and the pellets are frozen and stored at −80° C. The pellets containing the overexpressed protein of a 500 ml of cultured cells is thawn on ice and resuspended in 15 ml of 50 mM potassium phosphate buffer containing 200 mM NaCl, 10 mM MgCl₂, 10 mM imidazole and 1 mM DTT. Twenty microliters of lysonase (Novagen) is added and the cells are incubated for 10 minutes at room temperature and then returned to ice for 20 minutes. Cell lysis is then completed by sonication for 2×15 seconds.

The bacterial extracts are then clarified by centrifugation at 4° C., 4000 rpm for 40 min. The clarified bacterial lysates are loaded onto a PROTINO-2000 Ni-TED column (Macherey-Nagel) allowing adsorption of 6-His tagged proteins. Columns are washed and the enzymes of interest are eluted with 6 ml of 50 mM potassium phosphate buffer containing 250 mM imidazole. Eluates are then concentrated, desalted on a Amicon Ultra-4 10 kDa filter unit (Millipore) and enzymes are resuspended in 50 mM potassium phosphate buffer containing 1 mM DTT and 20 mM NaCl. Protein concentrations are determined by direct UV 280 nm measurement on a NanoDrop 1000 spectrophotometer (Thermo Scientific) or by a Bradford assay (BioRad).

Correspondingly, the cDNA of a Flavin prenyltransferase UbiX protein from E. coli is cloned and recombinantly expressed, purified and quantified.

As described in the above enzymatic in vitro assay for determining the activity of the MDC variants of the present invention, UbiX does not necessarily have to be provided in a recombinantly expressed and subsequently purified manner. Therefore, UbiX may alternatively also be provided in the form of a UbiX-containing cell lysate without purifying it as described in the following.

The Flavin prenyltransferase UbiX protein from E. coli is cloned in the vector pCAN. The Flavin prenyltransferase UbiX protein from E. coli was purchased from NAIST (Nara Institute of Science and Technology, Japan, ASKA collection).

Competent E. coli BL21 (DE3) cells (Novagen) are transformed with this vector according to standard heat shock procedures and plated out onto LB-agar plates supplemented with the appropriate antibiotic. Cells are grown overnight at 30° C. until individual colonies reach the desired size. A single colony is then picked and individually transferred into 5 ml of liquid LB medium supplemented with the appropriate antibiotic. Cell growth is carried out with shaking for 16 hours at 30° C. The LB culture of the transformed cells is used to inoculate a ZYM-5052 auto-induction medium (Studier F W, Prot. Exp. Pur. 41, (2005), 207-234) and the culture is grown with shaking (160 rpm) using at 30° C. during 24 h. The cells are collected by centrifugation at 4° C., 10,000 rpm for 20 min and the pellets are stored at −80° C. Pellets from 500 ml of cultured cells are thawed on ice and resuspended in 15 ml of 50 mM potassium phosphate buffer containing 200 mM NaCl, 10 mM MgCl₂, 10 mM imidazole and 1 mM DTT. Twenty microliters of lysonase (Novagen) is added. Cells are incubated 10 minutes at room temperature and then returned to ice for 20 minutes. Cell lysis is completed by sonication for 2×15 seconds. The cellular lysate containing the UbiX protein is kept on ice.

Alternatively to the above in vitro assays, the activity of the MDC variants for the conversion of 3-methylcrotonic acid into isobutene can be assessed by an in vivo testing. This coupled in vivo assay is based on the use of a bacterial strain transformed with an expression vector that contains the coding sequences leading to the production of the MDC variant and the Flavin prenyltransferase UbiX protein from E. coli (SEQ ID NO:2). Thus, the MDC variant to be tested is subcloned into a pETDuet™-1 co-expression vector (Novagen) in addition to the cDNA of the Flavin prenyltransferase UbiX protein from E. coli.

The MDC variant of the present invention to be tested is used to catalyze the decarboxylation reaction of 3-methylcrotonic acid into isobutene while the Flavin prenyltransferase UbiX protein from E. coli provides the modified flavin cofactor. Thus, in the coupled in vivo assay, a bacterial strain is used which is transformed with the above expression vector.

The transformed strain is first plated out onto LB-agar plates supplemented with the appropriate antibiotic. Cells are then grown overnight at 30° C. until individual colonies reach the desired size. Single colonies are then picked and individually transferred into either 50 or 500 μL of liquid LB medium supplemented with the appropriate antibiotic. Cell growth is carried out with shaking for 20 hours at 30° C. The LB cultures are used to inoculate 300 μL in 384 deepwell microplates or 1 mL in 96 deepwell microplates of auto-induction medium (Studier F W, Prat. Exp. Pur. 41, (2005), 207-234) supplemented with the appropriate antibiotic and grown in a shaking incubator set at 700 rpm and 85% humidity for 24 h at 30° C. in order to produce the two types of recombinant enzymes. The cell pellet containing these overexpressed recombinant enzymes is then resuspended in 40 μL of minimum medium (pH 7.5, Phosphate 100 mM, Glucose 10 g·L⁻¹, MgSO₄ 1 mM) supplemented with 10 mM 3-methylcrotonic acid in 384 deepwell microplates or in 400 μL of minimum medium (pH 7.5, Phosphate 100 mM, Glucose 10 g·L⁻¹, MgSO₄ 1 mM) supplemented with 10 mM 3-methylcrotonic acid in 96 deepwell microplates and incubated for a further 2 or 4 hours in a shaking incubator at 37° C., 700 rpm. During this step, the MDC variant catalyses the decarboxylation of 3-methylcrotonic acid into isobutene. After 5 min inactivation at 80° C., the isobutene produced is quantified by gas chromatography as follows. 100 μL of headspace gases from each enzymatic reaction are injected in a Brucker GC-450 system equipped with a Flame Ionization Detector (FID). Compounds present in samples are separated by chromatography using a RTX-1 column at 100° C. with a 1 mL/min constant flow of nitrogen as carrier gas. Upon injection, peak areas of isobutene are calculated.

By providing the above described enzyme variant of the second part of the present invention, the present invention allows to dramatically increase the production efficiency of isobutene from 3-methylcrotonic acid.

The term “3-methylcrotonic acid decarboxylase (MDC)” refers to an enzyme which can catalyze the decarboxylation of 3-methylcrotonic acid into isobutene. A decarboxylation is a chemical reaction that removes a carboxyl group and releases carbon dioxide. This activity can be measured by methods known in the art and as described above. In a preferred embodiment, the MDC is a Ferulic Acid Decarboxylase (FDC) or is derived from such an enzyme. FDCs belong to the enzyme class EC 4.1.1.-. As mentioned above, it has originally been described that an FDC in association with a modified FMN (prenylated-FMN) is capable of catalyzing an α,β-unsaturated decarboxylation via a 1,3-dipolar cyclo-addition and, more specifically, capable of catalyzing the decarboxylation of 3-methylcrotonic acid into isobutene. Thus, in the context of the present invention, the term FDC relates to enzymes capable of catalyzing the decarboxylation of 3-methylcrotonic acid into isobutene, preferably when provided with a prenylated FMN.

FDC enzymes have, e.g., been described in Saccharomyces cerevisiae, Enterobacter sp., Bacillus pumilus, Aspergillus niger or Candida dubliniensis. Hence, in preferred embodiments, the FDC is derived from Saccharomyces cerevisiae (Uniprot accession number Q03034), Enterobacter sp. (Uniprot accession number V3P7U0), Bacillus pumilus (Uniprot accession number Q45361), Aspergillus niger (Uniprot accession number A2R0P7) or Candida dubliniensis (Uniprot accession number B9WJ66). In more preferred embodiments, the FDC is a 3-polyprenyl-4-hydroxybenzoate decarboxylase (UbiD). 3-polyprenyl-4-hydroxybenzoate decarboxylases have, e.g., been described in Hypocrea atroviridis, Sphaerulina musiva, Penecillinum requeforti, Fusarium oxysporum f. sp. lycopersici, Saccharomyces kudriavzevii, Saccaromyces cerevisiae, Aspergillus parasiticus, Candida albicans, Grosmannia clavigera, Escherichia coli, Bacillus megaterium, Methanothermobacter sp. CaT2 or Mycobacterium chelonae 1518. Hence, in more preferred embodiments, the FDC enzyme variant capable of catalyzing the decarboxylation of 3-methylcrotonic acid into isobutene is derived from a 3-polyprenyl-4-hydroxybenzoate decarboxylase (UbiD) from Hypocrea atroviridis (UniProt Accession number G9NLP8), Sphaerulina musiva (UniProt Accession number M3DF95), Penecillinum requeforti (UniProt Accession number W6QKP7), Fusarium oxysporum f. sp. lycopersici (UniProt Accession number W9LTH3), Saccharomyces kudriavzevii (UniProt Accession number J8TRN5), Saccaromyces cerevisiae, Aspergillus parasiticus, Candida albicans, Grosmannia clavigera, Escherichia coli (Uniprot accession number P0AAB4), Bacillus megaterium (Uniprot accession number D5DTL4), Methanothermobacter sp. CaT2 (Uniprot accession number T2GKK5) or Mycobacterium chelonae 1518 (Uniprot accession number X8EX86). Preferably, the MDC is an enzyme which is associated with and/or depends on an FMN prenyl transferase. As mentioned above, the enzymatic conversion of 3-methylcrotonic acid into isobutene utilizing an FMN-dependent decarboxylase is preferably associated with an FMN prenyl transferase and relies on a reaction of two consecutive steps catalyzed by the two enzymes, i.e., the FMN-dependent decarboxylase (catalyzing the actual decarboxylation of 3-methylcrotonic acid into isobutene) with an associated FMN prenyl transferase which provides the modified flavin cofactor. The flavin cofactor may preferably be FMN or FAD. FMN (flavin mononucleotide; also termed riboflavin-5′-phosphate) is a biomolecule produced from riboflavin (vitamin B2) by the enzyme riboflavin kinase and functions as prosthetic group of various reactions. FAD (flavin adenine dinucleotide) is a redox cofactor, more specifically a prosthetic group, involved in several important reactions in metabolism. The FMN prenyl transferases which may be associated with the MDC variants of the present invention are described in more detail further below.

The second part of the present invention provides now improved variants of enzymes which are capable of converting 3-methylcrotonic acid into isobutene. The inventors used as a model enzyme the FDC, more specifically the UbiD-like decarboxylase of Streptomyces sp. 769 (UniProt Accession number A0A0A8EV26; the corresponding encoding gene GZL_07100) shown in SEQ ID NO: 14 and could show that it is possible to provide variants of this enzyme which show increased activity with respect to the conversion of 3-methylcrotonic acid into isobutene.

The model enzyme, i.e., the UbiD-like decarboxylase of Streptomyces sp. 769, as used by the inventors has the amino acid sequence as shown in SEQ ID NO: 14.

In one preferred embodiment the variants of the second part of the present invention are characterized by the feature that they are derived from an MDC, more preferably from an MDC having the amino acid sequence shown in SEQ ID NO: 14 or a highly related sequence (at least 63% identical) and in which mutations are effected at one or more of the below indicated positions and by the feature that they show the ability to convert 3-methylcrotonic acid into isobutene and that they can do this with an improved activity. In a preferred embodiment the variant according to the present invention is derived from a sequence which shows at least 70%, more preferably at least 80% sequence identity to SEQ ID NO:14 and in which one or more substitutions and/or deletions and/or insertions at the positions indicated herein have been effected.

However, the teaching of the present invention is not restricted to the MDC enzyme of Streptomyces sp. 769 shown in SEQ ID NO:14 which had been used as a model enzyme but can be extended to MDC enzymes from other organisms or to enzymes which are structurally related to SEQ ID NO:14 such as, e.g., truncated variants of the enzyme. Thus, the present invention also relates to variants of MDCs which are structurally related to the Streptomyces sp. 769 sequence (SEQ ID NO: 14) and which show one or more substitutions and/or deletions and/or insertions at positions corresponding to any of the positions as indicated herein. The term “structurally related” refers to MDCs which show a sequence identity of at least n % to the sequence shown in SEQ ID NO:14 with n being an integer between 60 and 100, preferably 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98 or 99. In a preferred embodiment the structurally related MDC stems from a bacteria, more preferably from an organism of the phylum of Actinobacteria, even more preferably from an organism of the class of Actinobacteria, the order of Actinomycetales, the family of Streptomycetaceae or the genus Streptomyces sp., most preferably Streptomyces sp. 769.

Thus, in one embodiment, the variant of an MDC according to the present invention has or preferably is derived from a sequence which is at least n % identical to SEQ ID NO: 14 with n being an integer between 60 and 100, preferably 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98 or 99, and it has (a) substitution(s) and/or (a) deletion and/or (an) insertion(s) at a position as indicated herein.

In more preferred embodiments, the variant of an MDC according to the present invention has or preferably is derived from a sequence which is at least n % identical to SEQ ID NO:14 with n being preferably 63, 64, 74, 77, 78, 94 or 97, and it has (a) substitution(s) and/or (a) deletion and/or (an) insertion(s) at a position as indicated herein.

When the sequences which are compared do not have the same length, the degree of identity either refers to the percentage of amino acid residues in the shorter sequence which are identical to amino acid residues in the longer sequence or to the percentage of amino acid residues in the longer sequence which are identical to amino acid residues in the shorter sequence. Preferably, it refers to the percentage of amino acid residues in the shorter sequence which are identical to amino acid residues in the longer sequence. The degree of sequence identity can be determined according to methods well known in the art using preferably suitable computer algorithms such as CLUSTAL.

When using the Clustal analysis method to determine whether a particular sequence is, for instance, at least 60% identical to a reference sequence default settings may be used or the settings are preferably as follows: Matrix: blosum 30; Open gap penalty: 10.0; Extend gap penalty: 0.05; Delay divergent: 40; Gap separation distance: 8 for comparisons of amino acid sequences. For nucleotide sequence comparisons, the Extend gap penalty is preferably set to 5.0.

In a preferred embodiment ClustalW2 is used for the comparison of amino acid sequences. In the case of pairwise comparisons/alignments, the following settings are preferably chosen: Protein weight matrix: BLOSUM 62; gap open: 10; gap extension: 0.1. In the case of multiple comparisons/alignments, the following settings are preferably chosen: Protein weight matrix: BLOSUM 62; gap open: 10; gap extension: 0.2; gap distance: 5; no end gap. Preferably, the degree of identity is calculated over the complete length of the sequence.

Amino acid residues located at a position corresponding to a position as indicated herein in the amino acid sequence shown in SEQ ID NO: 14 can be identified by the skilled person by methods known in the art. For example, such amino acid residues can be identified by aligning the sequence in question with the sequence shown in SEQ ID NO: 14 and by identifying the positions which correspond to the below indicated positions of SEQ ID NO:14. The alignment can be done with means and methods known to the skilled person, e.g. by using a known computer algorithm such as the Lipman-Pearson method (Science 227 (1985), 1435) or the CLUSTAL algorithm. It is preferred that in such an alignment maximum homology is assigned to conserved amino acid residues present in the amino acid sequences.

In a preferred embodiment ClustalW2 is used for the comparison of amino acid sequences. In the case of pairwise comparisons/alignments, the following settings are preferably chosen: Protein weight matrix: BLOSUM 62; gap open: 10; gap extension: 0.1. In the case of multiple comparisons/alignments, the following settings are preferably chosen: Protein weight matrix: BLOSUM 62; gap open: 10; gap extension: 0.2; gap distance: 5; no end gap.

When the amino acid sequences of MDCs are aligned by means of such a method, regardless of insertions or deletions that occur in the amino acid sequences, the positions of the corresponding amino acid residues can be determined in each of the MDCs.

In the context of the present invention, “substituted with another amino acid residue” means that the respective amino acid residues at the indicated position can be substituted with any other possible amino acid residues, e.g. naturally occurring amino acids or non-naturally occurring amino acids (Brustad and Arnold, Curr. Opin. Chem. Biol. 15 (2011), 201-210), preferably with an amino acid residues selected from the group consisting of alanine, arginine, asparagine, aspartic acid, cysteine, glutamine, glutamic acid, glycine, histidine, isoleucine, leucine, lysine, methionine, phenylalanine, proline, serine, threonine, tryptophan, tyrosine and valine. Preferred substitutions for certain positions are indicated further below. Moreover, the term “substituted” or “substitution” also means that the respective amino acid residue at the indicated position is modified.

Such modifications include naturally occurring modifications and non-naturally occurring modifications. Naturally occurring modifications include but are not limited to eukaryotic post-translational modification, such as attachment of functional groups (e.g. acetate, phosphate, hydroxyl, lipids (myristoylation of glycine residues) and carbohydrates (e.g. glycosylation of arginine, asparagine etc.). Naturally occurring modifications also encompass the change in the chemical structure by citrullination, carbamylation and disulphide bond formation between cysteine residues; attachment of co-factors (FMN or FAD that can be covalently attached) or the attachment of peptides (e.g. ubiquitination or sumoylation).

Non-naturally occurring modifications include, e.g., in vitro modifications such as biotinylation of lysine residue or the inclusion of non-canonical amino acids (see Liu and Schultz, Annu. Rev. Biochem. 79 (2010), 413-44 and Wang et al., Chem. Bio. 2009 Mar. 27; 16 (3), 323-336; doi: 101016/jchembiol.2009.03.001).

In the context of the present invention, “deleted” or “deletion” means that the amino acid at the corresponding position is deleted.

In the context of the present invention, “inserted” or “insertion” means that at the respective position one or two, preferably one amino acid residue is inserted, preferably in front of the indicated position.

In a second aspect of the second part of the present invention, the present invention provides a variant of a 3-methylcrotonic acid decarboxylase (MDC) showing an improved activity in converting 3-methylcrotonic acid into isobutene over the corresponding MDC from which it is derived, wherein the MDC variant is characterized in that it shows one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 448, 2, 3, 5, 6, 24, 25, 35, 36, 64, 74, 80, 85, 86, 126, 129, 154, 166, 175, 195, 196, 197, 198, 204, 208, 214, 236, 237, 238, 240, 277, 298, 302, 339, 343, 347, 350, 359, 366, 368, 390, 391, 394, 395, 396, 398, 401, 402, 403, 404, 405, 406, 407, 408, 426, 439, 440, 441, 442, 444, 446, 447, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462 and 473 in the amino acid sequence shown in SEQ ID NO:14.

The present invention relates in a preferred embodiment to an MDC variant having an amino acid sequence as shown in SEQ ID NO:14 or an amino acid sequence having at least 63% sequence identity to SEQ ID NO: 14, in which one or more amino acid residues at a position selected from the group consisting of positions 448, 2, 3, 5, 6, 24, 25, 35, 36, 64, 74, 80, 85, 86, 126, 129, 154, 166, 175, 195, 196, 197, 198, 204, 208, 214, 236, 237, 238, 240, 277, 298, 302, 339, 343, 347, 350, 359, 366, 368, 390, 391, 394, 395, 396, 398, 401, 402, 403, 404, 405, 406, 407, 408, 426, 439, 440, 441, 442, 444, 446, 447, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462 and 473 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to any of these positions, are substituted with another amino acid residue or deleted or wherein an insertion has been effected at one or more of these positions and wherein said MDC variant has an improved activity in converting 3-methylcrotonic acid into isobutene.

The present invention relates in a preferred embodiment to an MDC variant having an amino acid sequence as shown in SEQ ID NO:14 or an amino acid sequence having at least 63% sequence identity to SEQ ID NO: 14, in which one or more amino acid residues at a position selected from the group consisting of positions 85, 198, 240, 241, 359, 390, 401, 402, 403, 404, 405, 406, 408, 443, 444, 445, 446, 448, 449 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to any of these positions, are substituted with another amino acid residue or deleted or wherein an insertion has been effected at one or more of these positions and wherein said MDC variant has an improved activity in converting 3-methylcrotonic acid into isobutene.

According to one embodiment, the second part of the present invention relates to any of the above-described MDC variants having an amino acid sequence as shown in SEQ ID NO: 14 or an amino acid sequence having at least 63% sequence identity to SEQ ID NO: 14 in which

-   -   (1) an amino acid residue at position 2 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with asparagine; and/or     -   (2) an amino acid residue at position 3 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with leucine or         methionine; and/or     -   (3) an amino acid residue at position 5 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with isoleucine; and/or     -   (4) an amino acid residue at position 6 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with methionine; and/or     -   (5) an amino acid residue at position 24 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with alanine, aspartic         acid, leucine or valine; and/or     -   (6) an amino acid residue at position 25 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with glutamic acid;         and/or     -   (7) an amino acid residue at position 35 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with isoleucine; and/or     -   (8) an amino acid residue at position 36 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with tyrosine; and/or     -   (9) an amino acid residue at position 64 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with histidine;         and/or     -   (10) an amino acid residue at position 74 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with valine; and/or     -   (11) an amino acid residue at position 80 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with serine; and/or     -   (12) an amino acid residue at position 85 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (13) an amino acid residue at position 86 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with asparagine or         tyrosine; and/or     -   (14) an amino acid residue at position 126 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with valine; and/or     -   (15) an amino acid residue at position 129 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with valine; and/or     -   (16) an amino acid residue at position 154 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with aspartic acid;         and/or     -   (17) an amino acid residue at position 166 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with aspartic acid;         and/or     -   (18) an amino acid residue at position 175 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with glutamic acid;         and/or     -   (19) an amino acid residue at position 195 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with isoleucine or         valine; and/or     -   (20) an amino acid residue at position 196 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with isoleucine; and/or     -   (21) an amino acid residue at position 197 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with valine; and/or     -   (22) an amino acid residue at position 198 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with glutamine or         tryptophan; and/or     -   (23) an amino acid residue at position 204 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with arginine or         serine; and/or     -   (24) an amino acid residue at position 208 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with leucine; and/or     -   (25) an amino acid residue at position 214 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with threonine;         and/or     -   (26) an amino acid residue at position 236 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with leucine or         valine; and/or     -   (27) an amino acid residue at position 237 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         aspartic acid, asparagine or proline; and/or     -   (28) an amino acid residue at position 238 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with histidine,         arginine, serine or tryptophan; and/or     -   (29) an amino acid residue at position 240 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with isoleucine or         asparagine; and/or     -   (30) an amino acid residue at position 277 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with tyrosine;         and/or     -   (31) an amino acid residue at position 298 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with serine; and/or     -   (32) an amino acid residue at position 302 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with alanine, cysteine,         phenylalanine, lysine, methionine, glutamine, arginine or         serine; and/or     -   (33) an amino acid residue at position 339 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with histidine;         and/or     -   (34) an amino acid residue at position 343 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with serine; and/or     -   (35) an amino acid residue at position 347 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with cysteine;         and/or     -   (36) an amino acid residue at position 350 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with serine; and/or     -   (37) an amino acid residue at position 359 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with cysteine or         valine; and/or     -   (38) an amino acid residue at position 366 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with isoleucine or         phenylalanine; and/or     -   (39) an amino acid residue at position 368 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with isoleucine or         methionine; and/or     -   (40) an amino acid residue at position 390 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with serine,         aspartic acid, leucine, asparagine or glutamine; and/or     -   (41) an amino acid residue at position 391 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with aspartic acid         or tryptophan; and/or     -   (42) an amino acid residue at position 394 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with cysteine,         aspartic acid, glutamine or threonine; and/or     -   (43) an amino acid residue at position 395 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with cysteine, glutamic         acid or valine; and/or     -   (44) an amino acid residue at position 396 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with isoleucine; and/or     -   (45) an amino acid residue at position 398 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with cysteine or         arginine; and/or     -   (46) an amino acid residue at position 401 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with tyrosine;         and/or     -   (47) an amino acid residue at position 402 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine; and/or     -   (48) an amino acid residue at position 403 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         cysteine, glycine, histidine, isoleucine, asparagine, proline,         glutamine, arginine or valine; and/or     -   (49) an amino acid residue at position 404 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with phenylalanine,         leucine or methionine; and/or     -   (50) an amino acid residue at position 405 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with histidine,         isoleucine, methionine, threonine or valine; and/or     -   (51) an amino acid residue at position 406 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with glycine,         alanine or serine; and/or     -   (52) an amino acid residue at position 407 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         cysteine, isoleucine, lysine, arginine, serine or threonine;         and/or     -   (53) an amino acid residue at position 408 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with isoleucine,         alanine, cysteine, leucine, or methionine; and/or     -   (54) an amino acid residue at position 426 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with valine; and/or     -   (55) an amino acid residue at position 439 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with cysteine; and/or     -   (56) an amino acid residue at position 440 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with leucine; and/or     -   (57) an amino acid residue at position 441 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with glycine,         histidine, lysine, asparagine, proline, arginine, serine or         threonine; and/or     -   (58) an amino acid residue at position 442 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         cysteine, glutamic acid, glycine, histidine, leucine,         methionine, asparagine, glutamine, arginine, serine or         threonine; and/or     -   (59) an amino acid residue at position 444 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         glutamic acid, phenylalanine, histidine, isoleucine, leucine,         glutamine or threonine; and/or     -   (60) an amino acid residue at position 446 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         cysteine, phenylalanine, isoleucine, methionine, asparagine,         serine or valine; and/or     -   (61) an amino acid residue at position 447 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with glutamine;         and/or     -   (62) an amino acid residue at position 448 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with phenylalanine,         tryptophan or tyrosine; and/or     -   (63) an amino acid residue at position 449 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with isoleucine,         methionine or valine; and/or     -   (64) an amino acid residue at position 450 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         histidine, methionine, asparagine, glutamine, serine or valine;         and/or     -   (65) an amino acid residue at position 451 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with asparagine or         serine; and/or     -   (66) an amino acid residue at position 452 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with phenylalanine;         and/or     -   (67) an amino acid residue at position 453 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with cysteine, glycine,         leucine, asparagine, proline, arginine or serine; and/or     -   (68) an amino acid residue at position 454 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         aspartic acid, glycine, histidine, lysine, leucine, methionine,         glutamine, arginine, serine, threonine, valine or tryptophan;         and/or     -   (69) an amino acid residue at position 455 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         glutamic acid, histidine, lysine, asparagine, serine or valine;         and/or     -   (70) an amino acid residue at position 456 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with glutamine;         and/or     -   (71) an amino acid residue at position 457 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with lysine; and/or     -   (72) an amino acid residue at position 458 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with glutamic acid,         phenylalanine, glycine, leucine, methionine, asparagine,         glutamine, arginine, serine or tyrosine; and/or     -   (73) an amino acid residue at position 459 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with aspartic acid,         glutamic acid, glycine, methionine, asparagine, glutamine,         arginine, threonine or tyrosine; and/or     -   (74) an amino acid residue at position 460 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with glutamic acid,         phenylalanine, glycine, leucine, methionine, asparagine,         glutamine or arginine; and/or     -   (75) an amino acid residue at position 461 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         glycine, leucine, methionine, glutamine, serine or valine;         and/or     -   (76) an amino acid residue at position 462 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with cysteine or         valine; and/or     -   (77) an amino acid residue at position 473 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with serine.

The invention also relates to variants as defined in (1) to (77) hereinabove, wherein the amino acid residue indicated as substituting the amino acid residue at the position in SEQ ID NO:14 is not that particular amino acid residue but an amino acid residue which is conservative in relation to the indicated substituting amino acid.

Whether an amino acid is conservative with respect to another amino acid can be judged according to means and methods known in the art and as described herein above. One possibility is the PAM 250 matrix; alternatively, the Blosum Family Matrices can be used.

According to another embodiment, the present invention relates to any of the above-described MDC variants, wherein in said variant one or more further amino acid residues at a position selected from the group consisting of 66, 168, 241, 296, 305, 349, 363, 443, 445, 479, and 496 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to any of these positions, are substituted with another amino acid residue or deleted or wherein an insertion has been effected at one or more of these positions, and wherein said MDC variant has an improved activity in converting 3-methylcrotonic acid into isobutene over the corresponding MDC from which it is derived.

According to one embodiment, the present invention relates to any of the above-described MDC variants having one or more further amino acid residues at a position selected from the group consisting of 66, 168, 241, 296, 305, 349, 363, 443, 445, 479, and 496 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to any of these positions substituted with another amino acid residue or deleted or having effected an insertion at one or more of these positions and wherein said MDC has an improved activity in converting 3-methylcrotonic acid into isobutene over the corresponding MDC from which it is derived, in which

-   -   (78) an amino acid residue at position 66 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with histidine; and/or     -   (79) an amino acid residue at position 168 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with valine; and/or     -   (80) an amino acid residue at position 241 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with aspartic acid,         asparagine or valine; and/or     -   (81) an amino acid residue at position 296 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with glutamine; and/or     -   (82) an amino acid residue at position 305 in the amino acid         sequence shown in SEQ ID NO:14 or at a position corresponding to         this position, is deleted or substituted with isoleucine or         threonine; and/or     -   (83) an amino acid residue at position 349 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with methionine or         serine; and/or     -   (84) an amino acid residue at position 363 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with glycine; and/or     -   (85) an amino acid residue at position 443 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with alanine,         aspartic acid, phenylalanine, histidine, leucine, asparagine,         arginine, serine, tryptophan or tyrosine; and/or     -   (86) an amino acid residue at position 445 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with leucine,         alanine, cysteine, serine or threonine; and/or     -   (87) an amino acid residue at position 479 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with cysteine,         isoleucine, leucine, methionine, serine, threonine or valine;         and/or     -   (88) an amino acid residue at position 496 in the amino acid         sequence shown in SEQ ID NO: 14 or at a position corresponding         to this position, is deleted or substituted with leucine.

The invention also relates to variants as defined in (78) to (88) hereinabove, wherein the amino acid residue indicated as substituting the amino acid residue at the position in SEQ ID NO: 14 is not that particular amino acid residue but an amino acid residue which is conservative in relation to the indicated substituting amino acid.

Whether an amino acid is conservative with respect to another amino acid can be judged according to means and methods known in the art and as described herein above. One possibility is the PAM 250 matrix; alternatively, the Blosum Family Matrices can be used.

The present invention relates in another preferred embodiment to an MDC variant having an amino acid sequence as shown in SEQ ID NO: 14 or an amino acid sequence having at least 78% sequence identity to SEQ ID NO: 14, in which one or more amino acid residues at a position selected from the group consisting of positions 448, 2, 3, 5, 6, 24, 25, 35, 36, 64, 74, 80, 85, 86, 126, 129, 154, 166, 175, 195, 196, 197, 198, 204, 208, 214, 236, 237, 238, 240, 277, 298, 302, 339, 343, 347, 350, 359, 366, 368, 390, 391, 394, 395, 396, 398, 401, 402, 403, 404, 405, 406, 407, 408, 426, 439, 440, 441, 442, 444, 446, 447, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462 and 473 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to any of these positions, are substituted with another amino acid residue or deleted or wherein an insertion has been effected at one or more of these positions and wherein said MDC variant has an improved activity in converting 3-methylcrotonic acid into isobutene.

The present invention relates in another preferred embodiment to any of the above-described variants having an amino acid sequence as shown in SEQ ID NO:14 or an amino acid sequence having at least 78% sequence identity to SEQ ID NO:14, wherein in said variant one or more further amino acid residues at a position selected from the group consisting of 66, 168, 241, 296, 305, 349, 363, 443, 445, 479, and 496 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to any of these positions, are substituted with another amino acid residue or deleted or wherein an insertion has been effected at one or more of these positions, and wherein said MDC variant has an improved activity in converting 3-methylcrotonic acid into isobutene over the corresponding MDC from which it is derived.

As regards the preferred embodiments of the substitutions, deletions or insertions for these variants, the same applies as described herein above. Thus, in preferred embodiments, the change(s) which are effected in these variants at any of the above position(s) is/are substitution(s), deletion(s) and/or insertion(s) as defined herein above.

The present invention relates in another preferred embodiment to an MDC variant having an amino acid sequence as shown in SEQ ID NO: 14 or an amino acid sequence having at least 77% sequence identity to SEQ ID NO: 14, in which one or more amino acid residues at a position selected from the group consisting of positions 2, 3, 5, 6, 25, 74, 80, 85, 154, 166, 175, 195, 196, 198, 204, 208, 236, 237, 238, 240, 277, 302, 347, 350, 366, 368, 390, 391, 394, 395, 402, 405, 406, 407, 408, 426, 439, 440, 441, 442, 444, 446, 448, 449, 450, 451, 452, 453, 456, 457, 459, 461, 462 and 473 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to any of these positions, are substituted with another amino acid residue or deleted or wherein an insertion has been effected at one or more of these positions and wherein said MDC variant has an improved activity in converting 3-methylcrotonic acid into isobutene.

The present invention relates in another preferred embodiment to any of the above-described variants having an amino acid sequence as shown in SEQ ID NO: 14 or an amino acid sequence having at least 77% sequence identity to SEQ ID NO:14, wherein in said variant one or more further amino acid residues at a position selected from the group consisting of 24, 35, 36, 64, 66, 86, 126, 129, 168, 197, 214, 241, 296, 298, 305, 339, 343, 349, 359, 363, 396, 398, 401, 403, 404, 443, 445, 447, 454, 455, 458, 460, 479, and 496 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to any of these positions, are substituted with another amino acid residue or deleted or wherein an insertion has been effected at one or more of these positions, and wherein said MDC variant has an improved activity in converting 3-methylcrotonic acid into isobutene over the corresponding MDC from which it is derived.

As regards the preferred embodiments of the substitutions, deletions or insertions for these variants, the same applies as described herein above. Thus, in preferred embodiments, the change(s) which are effected in these variants at any of the above position(s) is/are substitution(s), deletion(s) and/or insertion(s) as defined herein above.

The present invention relates in another preferred embodiment to an MDC variant having an amino acid sequence as shown in SEQ ID NO: 14 or an amino acid sequence having at least 74% sequence identity to SEQ ID NO: 14, in which one or more amino acid residues at a position selected from the group consisting of positions 2, 3, 5, 6, 25, 74, 80, 85, 154, 166, 175, 195, 196, 198, 204, 208, 236, 237, 238, 277, 347, 350, 366, 368, 390, 391, 395, 402, 405, 406, 408, 426, 440, 441, 442, 444, 446, 448, 449, 450, 451, 452, 456, 457, 459, 461, 462, and 473 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to any of these positions, are substituted with another amino acid residue or deleted or wherein an insertion has been effected at one or more of these positions and wherein said MDC variant has an improved activity in converting 3-methylcrotonic acid into isobutene.

The present invention relates in another preferred embodiment to any of the above-described variants having an amino acid sequence as shown in SEQ ID NO: 14 or an amino acid sequence having at least 74% sequence identity to SEQ ID NO:14, wherein in said variant one or more further amino acid residues at a position selected from the group consisting of 24, 35, 36, 64, 66, 86, 126, 129, 168, 197, 214, 240, 241, 296, 298, 302, 305, 339, 343, 349, 359, 363, 394, 396, 398, 401, 403, 404, 407, 439, 443, 445, 447, 453, 454, 455, 458, 460, 479, and 496 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to any of these positions, are substituted with another amino acid residue or deleted or wherein an insertion has been effected at one or more of these positions, and wherein said MDC variant has an improved activity in converting 3-methylcrotonic acid into isobutene over the corresponding MDC from which it is derived.

As regards the preferred embodiments of the substitutions, deletions or insertions for these variants, the same applies as described herein above. Thus, in preferred embodiments, the change(s) which are effected in these variants at any of the above position(s) is/are substitution(s), deletion(s) and/or insertion(s) as defined herein above.

The present invention relates in another preferred embodiment to an MDC variant having an amino acid sequence as shown in SEQ ID NO: 14 or an amino acid sequence having at least 64% sequence identity to SEQ ID NO: 14, in which one or more amino acid residues at a position selected from the group consisting of positions 2, 3, 5, 6, 25, 74, 80, 85, 166, 175, 195, 196, 198, 204, 208, 238, 277, 350, 366, 390, 402, 405, 406, 408, 426, 440, 441, 444, 446, 448, 449, 451, 452, 456, 457, 459, 462, and 473 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to any of these positions, are substituted with another amino acid residue or deleted or wherein an insertion has been effected at one or more of these positions and wherein said MDC variant has an improved activity in converting 3-methylcrotonic acid into isobutene.

The present invention relates in another preferred embodiment to any of the above-described variants having an amino acid sequence as shown in SEQ ID NO:14 or an amino acid sequence having at least 64% sequence identity to SEQ ID NO:14, wherein in said variant one or more further amino acid residues at a position selected from the group consisting of 24, 35, 36, 64, 66, 86, 126, 129, 154, 168, 197, 214, 236, 237, 240, 241, 296, 298, 302, 305, 339, 343, 347, 349, 359, 363, 368, 391, 394, 395, 396, 398, 401, 403, 404, 407, 439, 442, 443, 445, 447, 450, 453, 454, 455, 458, 460, 461, 479, and 496 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to any of these positions, are substituted with another amino acid residue or deleted or wherein an insertion has been effected at one or more of these positions, and wherein said MDC variant has an improved activity in converting 3-methylcrotonic acid into isobutene over the corresponding MDC from which it is derived.

As regards the preferred embodiments of the substitutions, deletions or insertions for these variants, the same applies as described herein above. Thus, in preferred embodiments, the change(s) which are effected in these variants at any of the above position(s) is/are substitution(s), deletion(s) and/or insertion(s) as defined herein above.

The present invention relates in another preferred embodiment to an MDC variant having an amino acid sequence as shown in SEQ ID NO: 14 or an amino acid sequence having at least 63% sequence identity to SEQ ID NO: 14, in which one or more amino acid residues at a position selected from the group consisting of positions 2, 3, 5, 6, 25, 74, 80, 85, 175, 195, 196, 277, 350, 366, 402, 408, 426, 441, 448, 449, 451, 452, 456, 457, and 473 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to any of these positions, are substituted with another amino acid residue or deleted or wherein an insertion has been effected at one or more of these positions and wherein said MDC variant has an improved activity in converting 3-methylcrotonic acid into isobutene.

The present invention relates in another preferred embodiment to any of the above-described variants having an amino acid sequence as shown in SEQ ID NO: 14 or an amino acid sequence having at least 63% sequence identity to SEQ ID NO:14, wherein in said variant one or more further amino acid residues at a position selected from the group consisting of 24, 35, 36, 64, 66, 86, 126, 129, 154, 166, 168, 197, 198, 204, 208, 214, 236, 237, 238, 240, 241, 296, 298, 302, 305, 339, 343, 347, 349, 359, 363, 368, 390, 391, 394, 395, 396, 398, 401, 403, 404, 405, 406, 407, 439, 440, 442, 443, 444, 445, 446, 447, 450, 453, 454, 455, 458, 459, 460, 461, 462, 479, and 496 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to any of these positions, are substituted with another amino acid residue or deleted or wherein an insertion has been effected at one or more of these positions, and wherein said MDC variant has an improved activity in converting 3-methylcrotonic acid into isobutene over the corresponding MDC from which it is derived.

As regards the preferred embodiments of the substitutions, deletions or insertions for these variants, the same applies as described herein above. Thus, in preferred embodiments, the change(s) which are effected in these variants at any of the above position(s) is/are substitution(s), deletion(s) and/or insertion(s) as defined herein above.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 241 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 406, 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 404, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO: 14.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to this position: A241D, A241N, or A241V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 359 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 406, 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 241, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 404, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO: 14.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to this position: A359C.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 404 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 406, 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 241, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO: 14.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to this position: C404F or C404L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 406, 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 241, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 404, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO: 14.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to this position: L448F, L448W or L448Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least one deletion, substitution and/or insertion wherein the deletion/insertion/substitution is at position 406 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 241, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 404, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO: 14.

Preferably, such a variant has the following substitution in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to this position: P406A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least two deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 390 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position and another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 406, 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 241, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 404, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO:14. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: R390S-L448W or R390S-L448Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least two deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 241 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position and another deletion/insertion/substitution is at position 404 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 406, 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO:14. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-C404F, A241D-C404L, A241N-C404F, or A241N-C404L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least two deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 241 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position and another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 406, 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 404, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO:14. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-L448F, A241D-L448W, A241D-L448Y, A241N-L448F, A241N-L448W, or A241N-L448Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least two deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 241 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position and another deletion/insertion/substitution is at position 406 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 404, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO:14. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-P406A or A241N-P406A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least two deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 404 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position and another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 406, 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 241, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO:14. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: C404L-L448F, C404L-L448W, C404M-L448F, C404M-L448W, C404F-L448F, C404F-L448W, C404F-L448Y or C404L-L448Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least two deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 404 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position and another deletion/insertion/substitution is at position 406 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 241, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO:14. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: C404L-P406A or C404F-P406A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least two deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 406 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position and another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 241, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 404, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO:14. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: P406A-L448F, P406A-L448W or P406A-L448Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 241 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position, another deletion/insertion/substitution is at position 404 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position and another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 406, 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO: 14.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-C404F-L448F, A241D-C404F-L448Y, A241D-C404L-L448F, A241D-C404L-L448W, A241D-C404L-L448Y, A241N-C404F-L448F, A241N-C404F-L448W, A241N-C404F-L448Y, A241N-C404L-L448F, A241N-C404L-L448W, A241N-C404L-L448Y, A241D-C404F-L448W, A241N-C404M-L448W or A241D-C404M-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 241 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position, another deletion/insertion/substitution is at position 404 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position and another deletion/insertion/substitution is at position 406 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO: 14.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-C404F-P406A, A241D-C404L-P406A, A241N-C404L-P406A or A241N-C404F-P406A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 241 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, another deletion/insertion/substitution is at position 406 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position and another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 404, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO: 14.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-P406A-L448F, A241D-P406A-L448Y, A241N-P406A-L448F, A241N-P406A-L448W, A241N-P406A-L448Y or A241D-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 404 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position, another deletion/insertion/substitution is at position 406 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position and another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 241, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO: 14.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: C404F-P406A-L448F, C404F-P406A-L448W, C404F-P406A-L448Y, C404L-P406A-L448F, C404L-P406A-L448Y, C404M-P406A-L448W, C404M-P406S-L448W or C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 404 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position, another deletion/insertion/substitution is at position 446 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position and another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 406, 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 241, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 405, 439, 440, 441, 442, 443, 444, 445, 447, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO: 14.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: C404F-L446I-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 404 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position, another deletion/insertion/substitution is at position 446 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position and another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 406, 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 241, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 405, 439, 440, 441, 442, 443, 444, 445, 447, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO: 14.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: C404M-L446N-L448W or C404M-L446I-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 240 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position, another deletion/insertion/substitution is at position 404 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position and another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 406, 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 241, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO: 14.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: V240I-C404M-L448F.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 404 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position, another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position and another deletion/insertion/substitution is at position 450 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 406, 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 241, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO: 14.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: C404M-L448W-T450A or C404M-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 241 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position, another deletion/insertion/substitution is at position 401 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position and another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 406, 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 403, 404, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO: 14.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-F401Y-L448W or A241N-F401Y-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 241 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position, another deletion/insertion/substitution is at position 444 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position and another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 406, 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 404, 405, 439, 440, 441, 442, 443, 445, 446, 447, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO: 14.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-P444E-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 241 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position, another deletion/insertion/substitution is at position 403 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position and another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 406, 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 404, 405, 439, 440, 441, 442, 443, 444, 445, 446, 447, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO: 14.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403G-L448W, A241N-S403P-L448W, A241D-S403P-L448W or A241N-S403G-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that contains at least three deletions, substitutions and/or insertions wherein one deletion/insertion/substitution is at position 241 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position, another deletion/insertion/substitution is at position 446 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position and another deletion/insertion/substitution is at position 448 in the amino acid sequence shown in SEQ ID NO: 14 or at a position corresponding to this position. Preferably, such a variant further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 406, 25, 35, 36, 74, 80, 86, 126, 129, 166, 196, 198, 204, 208, 236, 237, 238, 240, 298, 302, 359, 366, 368, 390, 395, 396, 402, 407, 408, 426, 449, 450, 451, 452, 454, 455, 456, 457, 458, 462, 473, 2, 3, 5, 6, 24, 64, 66, 85, 154, 168, 175, 195, 197, 214, 277, 296, 305, 339, 343, 347, 349, 350, 363, 391, 394, 398, 401, 403, 404, 405, 439, 440, 441, 442, 443, 444, 445, 447, 453, 459, 460, 461, 479 and 496 in the amino acid sequence shown in SEQ ID NO: 14.

Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241N-L446V-L448W.

In other preferred embodiments, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that has multiple mutations. As it is exemplified in the examples further below, variants have been found bearing multiple mutations which exhibit an increase in the reaction rate of the conversion of 3-methylcrotonic acid into isobutene. These variants bearing multiple mutations are summarized in the following: Accordingly, in a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-C404F-P406A-L448F, A241D-C404F-P406A-L448Y, A241D-C404L-P406A-L448F, A241D-C404L-P406A-L448Y, A241N-C404F-P406A-L448F, A241N-C404F-P406A-L448Y, A241N-C404L-P406A-L448F or A241N-C404L-P406A-L448Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 404, 406, 446 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: C404M-P406A-L446I-L448W or C404M-P406S-L446I-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 446 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403R-C404M-L446I-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 404, 446, 448, and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: C404M-L446I-L448W-T450A, C404M-L446I-L448W-T450H, C404M-L446I-L448W-T450M, C404M-L446I-L448W-T450N, C404M-L446I-L448W-T450S, C404M-L446N-L448W-T450A or C404M-L446N-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 404, 406, 446 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: C404M-P406A-L446N-L448W, C404M-P406S-L446N-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 404, 406, 446, 448, and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: C404M-P406A-L4461-L448W-T450A, C404M-P406S-L446I-L448W-T450A, C404M-P406S-L446I-L448W-T450H, C404M-P406A-L446N-L448W-T450A, C404M-P406A-L446N-L448W-T450H, C404M-P406S-L446N-L448W-T450A, C404M-P406S-L446N-L448W-T450H, C404M-P406A-L4461-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 404, 446 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-C404F-L446I-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-C404F-P406A-L448W, A241D-C404F-P406S-L448W, or A241D-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 404, 406, 443 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-C404L-P406A-G443D-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 404, 406, 446 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-C404L-P406A-L446V-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 404, 406, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-C404L-P406A-L446V-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 404, 406, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-C404L-P406A-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-C404M-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 401, 404, 446 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-F401Y-C404F-L446I-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 401, 404 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-F401Y-C404F-L448W or A241D-F401Y-C404M-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 401, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-F401Y-C404F-P406A-L448W, A241D-F401Y-C404M-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 401, 403, 404, 446 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-F401Y-S403G-C404F-L446I-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 401, 403, 404, and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-F401Y-S403G-C404F-L448W or A241D-F401Y-S403G-C404M-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 401, 403, 404, 446 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-F401Y-S403P-C404F-L446I-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 401, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-F401Y-S403P-C404M-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 401, 403, 404 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-F401Y-S403P-C404F-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 402, 404, 406, 446 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-G402A-C404L-P406A-L446V-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 402, 404, 406, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-G402A-C404L-P406A-L446V-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 402, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-G402A-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 402, 404, 406, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-G402A-C404L-P406A-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 402, 403, 404, 406, 446 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-G402A-S403C-C404L-P406A-L446V-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 402, 403, 404, 406, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-G402A-S403C-C404L-P406A-L446V-L448W-T450M or A241D-G402A-S403V-C404L-P406A-L446V-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 402, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-G402A-S403C-C404L-P406A-L448W or A241D-G402A-S403V-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 402, 403, 404, 406, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-G402A-S403C-C404L-P406A-L448W-T450M or A241D-G402A-S403V-C404L-P406A-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 402, 403, 404, 406, 446 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A 241 D-G402A-S403V-C404L-P406A-L446V-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 446 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-L446V-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-L446V-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-L448W, A241D-S403G-C404F-P406A-L448W or A241D-S403G-C404M-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 446 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403P-C404F-L446I-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 446 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403G-C404F-L446I-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403G-C404F-L448W, A241D-S403P-C404F-L448W or A241D-S403P-C404M-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403P-C404F-P406A-L448W, A241D-S403P-C404M-P406A-L448W or A241D-S403V-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 446 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403V-C404L-P406A-L446V-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403V-C404L-P406A-L446V-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403V-C404L-P406A-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 404, 405, 406 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241N-C404F-L405H-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241N-C404F-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 404, 406, 446, and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241N-C404L-P406A-L446C-L448W or A241N-C404L-P406A-L446V-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241N-C404L-P406A-L448W or A241N-C404M-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 404, 406, 448 and 449 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241N-C404L-P406A-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 404, 406, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241N-C404L-P406A-L448W-T450M or A241N-C404L-P406A-L448W-T450Q.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241N-S403C-C404L-P406A-L448W, A241N-S403N-C404L-P406A-L448W or A241N-S403V-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 404, 406, 446 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: C404L-P406A-L446F-L448W, C404L-P406A-L446S-L448W or C404L-P406A-L446V-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 404, 406, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: C404L-P406A-L448W-T450M, C404M-P406A-L448W-T450A, C404M-P406S-L448W-T450A, C404M-P406A-L448W-T450H or C404M-P406S-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 404, 406, 444 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: C404L-P406A-P444H-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 85, 241, 404, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: P85L-A241N-C404M-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403V-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443D-L448W, A241D-S403C-C404L-P406A-G443H-L448W or A241 D-S403C-C404L-P406A-G443N-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 444 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-P444A-L448W, A241D-S403C-C404L-P406A-P444H-L448W or A241 D-S403C-C404L-P406A-P444L-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 402, 403, 404, 406, 443 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-G402A-S403C-C404L-P406A-G443H-L448W, A241D-G402A-S403C-C404L-P406A-G443S-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 402, 403, 404, 406, 446 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-G402A-S403C-C404L-P406A-L446M-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 402, 403, 404, 406, 444 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-G402A-S403C-C404L-P406A-P444F-L448W or A241D-G402A-S403C-C404L-P406A-P444H-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403H-C404L-P406A-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443A-L448W-T450M, A241D-S403C-C404L-P406A-G443F-L448W-T450M, A241D-S403C-C404L-P406A-G443Y-L448W-T450M, A241D-S403V-C404L-P406A-G443A-L448W-T450M, A241D-S403V-C404L-P406A-G443D-L448W-T450M, A241D-S403V-C404L-P406A-G443F-L448W-T450M, A241D-S403V-C404L-P406A-G443N-L448W-T450M or A241D-S403V-C404L-P406A-G443S-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 444, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-P444A-L448W-T450M, A241D-S403C-C404L-P406A-P444F-L448W-T450M and A241D-S403C-C404L-P406A-P444T-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 446 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403V-C404L-P406A-G443D-L446V-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403V-C404L-P406A-G443D-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 445, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403V-C404L-P406A-V445L-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 404, 406, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-C404L-P406A-G443F-L446V-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 404, 406, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-C404L-P406A-L446V-L448W-T450A.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443A-L446V-L448W-T450M, A241D-S403C-C404L-P406A-G443S-L446V-L448W-T450M, A241D-S403C-C404L-P406A-G443W-L446V-L448W-T450M, A241D-S403C-C404L-P406A-G443Y-L446V-L448W-T450M, A241D-S403V-C404L-P406A-G443D-L446V-L448W-T450M, A241D-S403V-C404L-P406A-G443F-L446V-L448W-T450M or A241 D-S403V-C404L-P406A-G443Y-L446V-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 198, 241, 403, 404, 406, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: H198Q-A241D-S403C-C404L-P406A-G443F-L446V-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 444, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-P444H-L446V-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 408, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-V408I-L446V-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-L446M-L448W-T450M, A241D-S403V-C404L-P406A-L446V-L448W-T450H, A241D-S403A-C404L-P406A-L446V-L448W-T450M, A241D-S403G-C404L-P406A-L446V-L448W-T450M, A241D-S403V-C404L-P406A-L446A-L448W-T450M or A241D-S403V-C404L-P406A-L446M-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 408, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403V-C404L-P406A-V408I-L446V-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 404, 406, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: C404M-P406A-G443W-L446I-L448W-T450H, C404M-P406A-G443Y-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 404, 405, 406, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: C404M-L405I-P406A-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 404, 406, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-C404M-P406A-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 404, 406, 407, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: C404M-P406A-Q407K-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403C-C404M-P406A-L446I-L448W-T450H or S403P-C404M-P406A-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 404, 405, 406, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: C404M-L405I-P406A-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 403, 404, 405, 406, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-S403C-C404M-L405I-P406A-G443Y-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: S403C-C404M-P406A-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 403, 404, 405, 406, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-S403C-C404M-L405I-P406A-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 404, 405, 406, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-C404M-L405I-P406A-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 404, 406, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-C404M-P406A-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 405, 406, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403C-C404M-L405I-P406A-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 404, 405, 406, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: C404M-L4051-P406A-G443Y-L4461-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 404, 405, 406, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-C404M-L405I-P406A-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 403, 404, 406, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-S403C-C404M-P406A-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 405, 406, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403C-C404M-L405I-P406A-G443Y-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 404, 406, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: C404M-P406A-G443Y-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403C-C404M-P406A-G443Y-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403C-C404M-P406A-G443Y-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 405, 406, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403C-C404M-L405I-P406A-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 404, 405, 406, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-C404M-L405I-P406A-G443Y-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 405, 406, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403C-C404M-L405I-P406A-G443Y-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 404, 405, 406, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: C404M-L405I-P406A-G443Y-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 403, 404, 405, 406, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-S403C-C404M-L405I-P406A-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 404, 406, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-C404M-P406A-G443Y-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 403, 404, 405, 406, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-S403C-C404M-L405I-P406A-G443Y-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 403, 404, 406, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-S403C-C404M-P406A-G443Y-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403 404, 406, 443, 448 and 449 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443D-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 444, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-P444H-L446M-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 444 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-G443D-P444A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 444, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-G443Y-P444H-L446M-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 408, 444, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-G443Y-L446M-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 25, 241, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A25E-A241D-S403C-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 66, 241, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A66H-A241D-S403C-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 80, 241, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A80S-A241D-S403C-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 24, 241, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: E24A-A241D-S403C-C404L-P406A-L448W, E24D-A241D-S403C-C404L-P406A-L448W, E24L-A241D-S403C-C404L-P406A-L448W, or E24V-A241D-S403C-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 237, 241, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: G237D-A241D-S403C-C404L-P406A-L448W or G237P-A241D-S403C-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-G443A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 236, 241, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: I236L-A241D-S403C-C404L-P406A-L448W or I236V-A241D-S403C-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 296, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-I296Q-S403C-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 214, 241, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: K214T-A241D-S403C-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 64, 241, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: N64H-A241D-S403C-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 448 and 479 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-L448W-P479C or A241D-S403C-C404L-P406A-L448W-P4791 or A241D-S403C-C404L-P406A-L448W-P479L or A241D-S403C-C404L-P406A-L448W-P479M or A241D-S403C-C404L-P406A-L448W-P479S or A241D-S403C-C404L-P406A-L448W-P479T or A241D-S403C-C404L-P406A-L448W-P479V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 448 and 496 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-L448W-R496L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 175, 241, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S175E-A241D-S403C-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 448 and 473 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-L448W-A473S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 86, 241, 403, 404, 406, and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: S86N-A241D-S403C-C404L-P406A-L448W or S86Y-A241D-S403C-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 240, 241, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: V240N-A241 D-S403C-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 240, 241, 403, 404, 406, 448 and 479 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: V240N-A241 D-S403C-C404L-P406A-L448W-P479V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 66, 214, 237, 241, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A66H-K214T-G237P-A241D-S403C-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 214, 237, 241, 296, 403, 404, 406, and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: K214T-G237P-A241D-I296Q-S403C-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 214, 237, 241, 296, 403, 404, 406, 448 and 479 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: K214T-G237P-A241D-I296Q-S403C-C404L-P406A-L448W-P479V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 214, 241, 403, 404, 406, 448 and 496 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: K214T-A241D-S403C-C404L-P406A-L448W-R496L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 240, 241, 403, 404, 406, 448 and 496 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: V240N-A241 D-S403C-C404L-P406A-L448W-R496L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 214, 237, 240, 241, 296, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: K214T-G237P-V240N-A241D-I296Q-S403C-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 66, 241, 403, 404, 406, 448 and 479 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A66H-A241D-S403C-C404L-P406A-L448W-P479V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 66, 214, 237, 240, 241, 403, 404, 406, 448 and 479 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A66H-K214T-G237P-V240N-A241D-S403C-C404L-P406A-L448W-P479V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 66, 214, 241, 403, 404, 406, 448 and 479 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A66H-K214T-A241D-S403C-C404L-P406A-L448W-P479V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 237, 241, 296, 403, 404, 406, 448 and 479 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: G237P-A241 D-I296Q-S403C-C404L-P406A-L448W-P479V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 66, 214, 237, 241, 403, 404, 406, 448 and 479 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A66H-K214T-G237P-A241 D-S403C-C404L-P406A-L448W-P479V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 296, 403, 404, 406, 448 and 479 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-I296Q-S403C-C404L-P406A-L448W-P479V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 66, 214, 241, 296, 403, 404, 406, and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A66H-K214T-A241D-I296Q-S403C-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 214, 241, 403, 404, 406, 443 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: K214T-A241D-S403C-C404L-P406A-G443N-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 66, 241, 296, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A66H-A241 D-I296Q-S403C-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 214, 241, 296, 403, 404, 406 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: K214T-A241D-I296Q-S403C-C404L-P406A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 237, 241, 403, 404, 406, 448 and 479 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: G237P-A241 D-S403C-C404L-P406A-L448W-P479V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 66, 214, 241, 296, 403, 404, 406, 448 and 479 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A66H-K214T-A241 D-I296Q-S403C-C404L-P406A-L448W-P479V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 66, 237, 240, 241, 403, 404, 406, 448 and 479 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A66H-G237P-V240N-A241 D-S403C-C404L-P406A-L448W-P479V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 66, 237, 241, 403, 404, 406, 448 and 479 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A66H-G237P-A241 D-S403C-C404L-P406A-L448W-P479V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 214, 241, 296, 403, 404, 406, 448 and 479 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: K214T-A241D-I296Q-S403C-C404L-P406A-L448W-P479V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 66, 241, 296, 403, 404, 406, 448 and 479 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A66H-A241 D-I296Q-S403C-C404L-P406A-L448W-P479V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 214, 241, 403, 404, 406, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: K214T-A241D-S403C-C404L-P406A-G443F-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 214, 237, 241, 403, 404, 406, 448 and 479 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: K214T-G237P-A241D-S403C-C404L-P406A-L448W-P479V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-A241 D-S403C-C404L-P406A-G443F-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 408, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-V408C-G443F-L448W-T450M or A241D-S403C-C404L-P406A-V408L-G443F-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 445, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443F-V445L-L448W-T450M or A241D-S403C-C404L-P406A-G443F-V445S-L448W-T450M or A241D-S403C-C404L-P406A-G443F-V445T-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 445 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443D-V445T-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 443, 444, and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-A241 D-S403C-C404L-P406A-G443D-P444A-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 405, 406, 443, 448 and 449 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-L405I-P406A-G443D-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 443 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-A241 D-S403C-C404L-P406A-G443D-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 445, 448 and 449 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-G443D-V445L-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 444, 448, and 449 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443A-P444H-L448W-L449I or A241D-S403C-C404L-P406A-G443F-P444H-L448W-L449I or A241D-S403C-C404L-P406A-G443L-P444H-L448W-L449I or A241 D-S403C-C404L-P406A-G443S-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 444, and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443D-P444H-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241 D-S403C-C404L-P406A-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 404, 405, 406, 443, 446, 448, 449 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241 D-C404L-L405M-P406A-G443F-L446V-L448W-L449M-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403Q-C404L-P406A-G443F-L446V-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 444, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P444H-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 444, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406S-P444H-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 195, 241, 403, 404, 406, 444, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: L195I-A241 D-S403C-C404L-P406A-P444H-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 444, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-A241 D-S403C-C404L-P406A-P444H-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 407, 444, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-Q407R-P444H-L448W-T450M or A241 D-S403C-C404L-P406A-Q407S-P444H-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 408, 444, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-V408I-P444H-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 195, 241, 403, 404, 406, 408, 444, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: L195I-A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 408, 444, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241 D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 408, 444, 445, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-V408I-P444H-V445C-L446M-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 443, 444, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241 D-S403C-C404L-P406A-G443Y-P444H-L446M-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 443, 444, 448, and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449V or M197V-A241D-S403C-C404L-P406A-G443S-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 403, 404, 406, 443, 446, 448, 450 and 455 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-S403C-C404M-P406A-G443Y-L446I-L448W-T450H-Q455H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403A-C404M-P406A-G443Y-L446I-L448W-T450H or S403I-C404M-P406A-G443Y-L446I-L448W-T450H or S403Q-C404M-P406A-G443Y-L446I-L448W-T450H or S403V-C404M-P406A-G443Y-L446I-L448W-T450H or S403C-C404M-P406G-G443Y-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 442, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403C-C404M-P406A-D442A-G443Y-L446I-L448W-T450H or S403C-C404M-P406A-D442E-G443Y-L446I-L448W-T450H or S403C-C404M-P406A-D442G-G443Y-L446I-L448W-T450H or S403C-C404M-P406A-D442S-G443Y-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 443, 444, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403C-C404M-P406A-G443Y-P444H-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 443, 445, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403C-C404M-P406A-G443Y-V445A-L446I-L448W-T450H or S403C-C404M-P406A-G443Y-V445C-L446I-L448W-T450H or S403C-C404M-P406A-G443Y-V445L-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 443, 446, 448, 450 and 451 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403C-C404M-P406A-G443Y-L446I-L448W-T450H-C451N or S403C-C404M-P406A-G443Y-L446I-L448W-T450H-C451S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 196, 197, 403, 404, 406, 443, 446, and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: V196I-M197V-S403C-C404M-P406A-G443Y-L446I-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 403, 404, 406, 443, 446, and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-S403C-C404M-P406G-G443Y-L446I-L448W or M197V-S403C-C404M-P406S-G443Y-L446I-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 403, 404, 406, 442, 443, 446 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-S403C-C404M-P406A-D442A-G443Y-L446I-L448W or M197V-S403C-C404M-P406A-D442C-G443Y-L446I-L448W or M197V-S403C-C404M-P406A-D442G-G443Y-L4461-L448W or M197V-S403C-C404M-P406A-D442H-G443Y-L446I-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 442, 443, 446 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403C-C404M-P406A-D442H-G443Y-L446I-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 403, 404, 406, 442, 443, 446, and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-S403C-C404M-P406A-D442N-G443Y-L446I-L448W or M197V-S403C-C404M-P406A-D442S-G443Y-L446I-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 403, 404, 406, 443, 445, 446 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-S403C-C404M-P406A-G443Y-V445S-L446I-L448W or M197V-S403C-C404M-P406A-G443Y-V445T-L446I-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 442, 443, 445, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: S403C-C404M-P406A-D442A-G443Y-V445L-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 403, 404, 406, 442, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-S403C-C404M-P406A-D442A-G443Y-L446I-L448W-T450H or M197V-S403C-C404M-P406A-D442Q-G443Y-L446I-L448W-T450H or M197V-S403C-C404M-P406A-D442N-G443Y-L446I-L448W-T450H or M197V-S403C-C404M-P406A-D442S-G443Y-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 441, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-E441R-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 442, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-D442L-G443D-P444H-L448W-L449I or A241D-S403C-C404L-P406A-D442R-G443D-P444H-L448W-L449I or A241D-S403C-C404L-P406A-D442M-G443D-P444H-L448W-L449I or A241D-S403C-C404L-P406A-D442A-G443D-P444H-L448W-L449I or A241D-S403C-C404L-P406A-D442S-G443D-P444H-L448W-L449I or A241D-S403C-C404L-P406A-D442G-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 444, 445, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-G443D-P444H-V445T-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 407, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-Q407C-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454A or A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454W or A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454V or A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454M or A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454H or A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454T or A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454G or A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454K or A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R or A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454Q or A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 444, 448, 449 and 459 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-A459Y or A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-A459N.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 444, 448, 449 and 460 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-A460N or A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-A460L or A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-A460M or A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-A460R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 444, 448, 449 and 461 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-R461V or A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-R461 S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 154, 241, 339, 403, 404, 406, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: E154D-A241 D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 302, 339, 403, 404, 406, 443, 444, 448, and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-L302R-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 363, 403, 404, 406, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-E339H-A363G-S403C-C404L-P406A-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 390, 403, 404, 406, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-E339H-R390D-S403C-C404L-P406A-G443D-P444H-L448W-L449I or A241D-E339H-R390L-S403C-C404L-P406A-G443D-P444H-L448W-L449I or A241D-E339H-R390N-S403C-C404L-P406A-G443D-P444H-L448W-L449I or A241D-E339H-R390Q-S403C-C404L-P406A-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 391, 403, 404, 406, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-E339H-R391D-S403C-C404L-P406A-G443D-P444H-L448W-L449I or A241D-E339H-R391W-S403C-C404L-P406A-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 394, 403, 404, 406, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-E339H-E394Q-S403C-C404L-P406A-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 3, 241, 339, 394, 403, 404, 406, 443, 444, 448 or 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: V3M-A241 D-E339H-E394T-S403C-C404L-P406A-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 398, 403, 404, 406, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-E339H-G398R-S403C-C404L-P406A-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 129, 241, 339, 398, 403, 404, 406, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A129V-A241D-E339H-G398C-S403C-C404L-P406A-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 408, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-V408L-G443D-P444H-L448W-L449I or A241D-E339H-S403C-C404L-P406A-V408M-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 441, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241 D-E339H-S403C-C404L-P406A-E441S-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 442, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-D442H-G443D-P444H-L448W-L449I or A241D-E339H-S403C-C404L-P406A-D442R-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 168, 241, 339, 403, 404, 406, 443, 444, 445, 448, and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: I168V-A241D-E339H-S403C-C404L-P406A-G443D-P444H-V445L-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 443, 444, 446, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-G443D-P444H-L446M-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 443, 444, 448, 449 and 452 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I-Y452F.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 443, 444, 448, 449 and 453 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I-T453L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 443, 444, 448, 449, and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454H or A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454K or A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R or A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454S or A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454T or A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 443, 444, 448, 449, 461 and 479 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I-R461V-P479S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 407, 443 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-Q407A-G443N-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 442, 443 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-D442A-G443N-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-G443N-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 448 and 453 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-G443N-L448W-T453R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 446 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443N-L446M-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 441, 443 444, 446, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-E441K-G443D-P444H-L446M-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 237, 241, 403, 404, 406, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-G237A-A241D-S403C-C404L-P406A-G443F-L448W-T450M or M197V-G237D-A241D-S403C-C404L-P406A-G443F-L448W-T450M or M197V-G237N-A241D-S403C-C404L-P406A-G443F-L448W-T450M or M197V-G237P-A241D-S403C-C404L-P406A-G443F-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 238, 241, 403, 404, 406, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-D238H-A241D-S403C-C404L-P406A-G443F-L448W-T450M or M197V-D238R-A241D-S403C-C404L-P406A-G443F-L448W-T450M or M197V-D238S-A241D-S403C-C404L-P406A-G443F-L448W-T450M or M197V-D238W-A241D-S403C-C404L-P406A-G443F-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 302, 403, 404, 406, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241D-L302A-S403C-C404L-P406A-G443F-L448W-T450M or M197V-A241D-L302K-S403C-C404L-P406A-G443F-L448W-T450M or M197V-A241D-L302M-S403C-C404L-P406A-G443F-L448W-T450M or M197V-A241D-L302R-S403C-C404L-P406A-G443F-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 359, 403, 404, 406, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241D-A359V-S403C-C404L-P406A-G443F-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 398, 403, 404, 406, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241D-G398R-S403C-C404L-P406A-G443F-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 394, 403, 404, 406, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241D-E394C-S403C-C404L-P406A-G443F-L448W-T450M or M197V-A241D-E394D-S403C-C404L-P406A-G443F-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 396, 403, 404, 406, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241D-V396I-S403C-C404L-P406A-G443F-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 35, 197, 241, 403, 404, 406, 407, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: V35I-M197V-A241D-S403C-C404L-P406A-Q407I-G443F-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 408, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241D-S403C-C404L-P406A-V408A-G443F-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 2, 197, 241, 403, 404, 406, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: Y2N-M197V-A241D-S403C-C404L-P406A-G443F-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 439, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241 D-S403C-C404L-P406A-R439C-G443F-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 440, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241 D-S403C-C404L-P406A-F440L-G443F-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 443, 448, 450 and 460 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241D-S403C-C404L-P406A-G443F-L448W-T450M-A460F or M197V-A241D-S403C-C404L-P406A-G443F-L448W-T450M-A460L or M197V-A241D-S403C-C404L-P406A-G443F-L448W-T450M-A460R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 443, 448, 450 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241D-S403C-C404L-P406A-G443F-L448W-T450M-P454T.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 443, 448, 450 and 462 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241 D-S403C-C404L-P406A-G443F-L448W-T450M-A462V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 407, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403C-C404M-P406G-Q407T-G443Y-L4461-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 5, 197, 403, 404, 406, 442, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M5I-M197V-S403C-C404M-P406G-D442N-G443Y-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 443, 444, 448, 449 and 459 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449V-A459D.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 448, 449 and 459 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-G443D-L448W-L449I-A459G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 407, 443, 446, 448, 450 and 459 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: S403C-C404M-P406A-Q407T-G443Y-L446I-L448W-T450H-A459G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 443, 446, 448, 450 and 459 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403C-C404M-P406A-G443Y-L446I-L448W-T450H-A459G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 448, 449 and 459 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-G443D-L448W-L449I-A459R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 448, 450 and 460 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-G443Y-L448W-T450M-A460E.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 408, 444, 446, 448, 450 and 460 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M-A460G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 443, 444, 448, 449, 460 and 462 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449V-A460G-A462V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 448, 450 and 460 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-G443Y-L448W-T450M-A460L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 407, 443, 446, 448, 450 and 460 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: S403C-C404M-P406A-Q407T-G443Y-L446I-L448W-T450H-A460L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 408, 444, 446, 448, 450 and 460 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M-A460Q.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 448, 450 and 462 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-G443Y-L448W-T450M-A462C.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 403, 404, 406, 442, 443, 446, 448, 450 and 462 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-S403C-C404M-P406A-D442N-G443Y-L446I-L448W-T450H-A462C.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 448, 450 and 462 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-G443Y-L448W-T450M-A462V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 407, 443, 446, 448, 450 and 462 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: S403C-C404M-P406A-Q407T-G443Y-L4461-L448W-T450H-A462V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 407, 443, 446, 448, 450, 454 and 462 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: S403C-C404M-P406A-Q407T-G443Y-L446I-L448W-T450H-P454Q-A462V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 198, 403, 404, 406, 407, 443, 446, 448, and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: H198W-S403V-C404M-P406A-Q407T-G443Y-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 74, 198, 403, 404, 406, 407, 443, 446, 448, and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: L74V-H198W-S403V-C404M-P406A-Q407T-G443Y-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 198, 403, 404, 406, 442, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: H198W-S403C-C404M-P406A-D442Q-G443Y-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 441, 443, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-E441G-G443D-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 208, 241, 403, 404, 406, 408, 443, 444, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: Q208L-A241D-S403C-C404L-P406A-V408I-G443R-P444H-L446M-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 408, 443, 444, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-V408I-G443W-P444H-L446M-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 448, 449 and 458 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443D-L448W-L449I-H458G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 195, 403, 404, 406, 407, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: L195V-S403C-C404M-P406A-Q407T-G443Y-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 195, 403, 404, 406, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: L195V-S403C-C404M-P406A-G443Y-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-A241 D-S403C-C404L-P406A-G443Y-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 403, 404, 406, 407, 443, 446, 448, and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-S403C-C404M-P406A-Q407T-G443Y-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 403, 404, 406, 442, 443, 446, 448, 450 and 456 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-S403C-C404M-P406A-D442N-G443Y-L446I-L448W-T450H-E456Q.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 407, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403C-C404F-P406A-Q407T-G443Y-L4461-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 407, 443, 444, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: S403C-C404M-P406A-Q407T-G443Y-P444F-L4461-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO: 14 or at positions amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-G443D-L448W-L449I-P454K.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241 D-S403C-C404L-P406A-G443D-P444H-L448W-L449V-P454K.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443D-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241 D-S403C-C404L-P406A-G443D-P444H-L448W-L449V-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403 404, 406, 443, 448, 449 and 455 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-G443D-L448W-L449I-Q455S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 403, 404, 406, 442, 443, 446, 448, 450 and 455 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-S403C-C404M-P406A-D442N-G443Y-L446I-L448W-T450H-Q455V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 407, 443, 446, 448, 450 and 457 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: S403C-C404M-P406A-Q407T-G443Y-L446I-L448W-T450H-R457K.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 403, 404, 406, 442, 443, 446, 448, 450, and 461 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-S403C-C404M-P406A-D442N-G443Y-L446I-L448W-T450H-R461G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 408, 444, 446, 448, 450, and 461 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M-R461S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 443, 444, 448, 449 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449V-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 448, 449 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443D-L448W-L449I-T450V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 443, 444, 448, 449 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449V-T450V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 36, 197, 403, 404, 406, 442, 443, 446, 448, 450 and 453 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: H36Y-M197V-S403C-C404M-P406A-D442N-G443Y-L446I-L448W-T450H-T453G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 407, 443, 446, 448, 450 and 453 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: S403C-C404M-P406A-Q407T-G443Y-L446I-L448W-T450H-T453N.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 198, 403, 404, 406, 443, 446, 448, 450 and 453 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: H198W-S403C-C404M-P406A-G443Y-L446I-L448W-T450H-T453P.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 408, 444, 446, 448, 450 and 453 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M-T453R or A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M-T453 S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 407, 443, 445, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: S403C-C404M-P406A-Q407T-G443Y-V445L-L4461-L448W-T450H or S403C-C404M-P406A-Q407T-G443Y-V445S-L446I-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 443, 444 and 448 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-A241 D-S403C-C404L-P406A-G443D-P444H-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 408, 444, 446, 448, 450 and 452 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M-Y452F.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 5, 241, 403, 404, 406, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M5I-A241 D-S403C-C404L-P406A-G443Y-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241D-S403C-C404L-P406A-G443F-L446M-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 403, 404, 406, 442, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-S403C-C404L-P406A-D442N-G443Y-L446M-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 403, 404, 406, 442, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-S403C-C404L-P406A-D442N-G443Y-L448W-T450M or M197V-S403C-C404L-P406A-D442N-G443Y-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 407, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403C-C404L-P406A-Q407T-G443Y-L446M-L448W-T450H or S403C-C404L-P406A-Q407T-G443Y-L446F-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 407, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403C-C404L-P406A-Q407T-G443Y-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 343, 403, 404, 406, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-A343S-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 350, 403, 404, 406, 443, 444, 446, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-A350S-S403C-C404L-P406A-G443D-P444H-L446M-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 395, 403, 404, 406, 426, 443, 444, 446, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-A395E-S403C-C404L-P406A-A426V-G443D-P444H-L446M-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 442, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R or A241D-E339H-S403C-C404L-P406A-D442S-G443D-P444H-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 442, 443, 444, 446, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-D442T-G443D-P444H-L446M-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-G443H-P444H-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 441, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241 D-E339H-S403C-C404L-P406A-E441R-G443D-P444H-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 347, 403, 404, 406, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-I347C-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 3, 241, 302, 339, 403, 404, 406, 443, 444, 446, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: V3L-A241D-L302Q-E339H-S403C-C404L-P406A-G443D-P444H-L446M-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 405, 406, 443, 444, 446, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-L405T-P406A-G443D-P444H-L446M-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 5, 241, 339, 403, 404, 406, 443, 444, 446, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M5I-A241D-E339H-S403C-C404L-P406A-G443D-P444H-L446M-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 443, 444, 448, 449, 454 and 455 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R-Q455A or A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R-Q455N.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 444, 448, 449, 454 and 459 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R-A459E or A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R-A459M or A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R-A459Q or A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R-A459T.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443N-P444H-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 441, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-E441 G-G443D-P444H-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-G443D-P444F-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 444, 448, 449, 454 and 458 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R-H458F or A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R-H458N.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 296, 403, 404, 406, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-I296Q-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 302, 403, 404, 406, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-L302A-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 444, 448, 449, 453 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-T453S-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 196, 241, 403, 404, 406, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: V196I-A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 305, 403, 404, 406, 443, 444, 448, 449, and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-V305I-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R or A241D-V305T-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 237, 241, 403, 404, 406, 441, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-G237A-A241D-S403C-C404L-P406A-E441G-G443F-L448W-T450M or M197V-G237A-A241D-S403C-C404L-P406A-E441H-G443F-L448W-T450M or M197V-G237A-A241D-S403C-C404L-P406A-E441T-G443F-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 440, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241 D-S403C-C404L-P406A-F440L-G443F-L446M-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 277, 403, 404, 406, 440, 443, 448, 449 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: M197V-A241D-H277Y-S403C-C404L-P406A-F440L-G443F-L448W-L449I-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 237, 241, 403, 404, 406, 443, 444, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-G237A-A241D-S403C-C404L-P406A-G443F-P444H-L448W-T450M or M197V-G237A-A241 D-S403C-C404L-P406A-G443F-P444I-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 241, 403, 404, 406, 407, 440, 443, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-A241 D-S403C-C404L-P406A-Q407R-F440L-G443F-L448W-T450M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 6, 197, 238, 241, 403, 404, 406, 443, 448, 450 and 453 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: V6M-M197V-D238H-A241D-S403C-C404L-P406A-G443F-L448W-T450M-T453C.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 238, 241, 403, 404, 406, 443, 448, 450 and 453 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-D238H-A241D-S403C-C404L-P406A-G443F-L448W-T450M-T453R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 197, 238, 241, 403, 404, 406, 443, 448, 450 and 452 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M197V-D238H-A241D-S403C-C404L-P406A-G443F-L448W-T450M-Y452F.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 444, 446, 448, 450 and 452 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241 D-S403C-C404L-P406A-P444H-L446M-L448W-T450M-Y452F.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 408, 444, 446, 448, 450, 452 and 455 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M-Y452F-Q455H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 408, 444, 446, 447, 448, 450 and 460 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-V408I-P444H-L446M-P447Q-L448W-T450M-A460G.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 408, 444, 446, 448, 450, 455 and 461 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M-Q455K-R461S or A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M-Q455V-R461S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 204, 403, 404, 406, 407, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: Q204R-S403C-C404L-P406A-Q407T-G443Y-L446F-L448W-T450H or Q204S-S403C-C404L-P406A-Q407T-G443Y-L446F-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 302, 403, 404, 406, 407, 443, 446, 448, and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: L302F-S403C-C404L-P406A-Q407T-G443Y-L446F-L448W-T450H or L302S-S403C-C404L-P406A-Q407T-G443Y-L446F-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 349, 403, 404, 406, 407, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: E349S-S403C-C404L-P406A-Q407T-G443Y-L446F-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 395, 403, 404, 406, 407, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A395C-S403C-C404L-P406A-Q407T-G443Y-L446F-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 407, 441, 443, 446, 448, and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: S403C-C404L-P406A-Q407T-E441P-G443Y-L446F-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 407, 443, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: S403C-C404L-P406A-Q407T-G443A-L446F-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 407, 443, 444, 446, 448 and 450 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: S403C-C404L-P406A-Q407T-G443Y-P444Q-L446F-L448W-T450H.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 403, 404, 406, 407, 443, 446, 448, 450 and 458 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: S403C-C404L-P406A-Q407T-G443Y-L446F-L448W-T450H-H458L or S403C-C404L-P406A-Q407T-G443Y-L446F-L448W-T450H-H458M.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 366, 403, 404, 406, 443, 444, 446, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-H366F-S403C-C404L-P406A-G443D-P444H-L446M-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 366, 403, 404, 406, 443, 444, 446 and 448 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-E339H-H366F-S403C-C404L-P406A-G443D-P444H-L446M-L448W.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 366, 403, 404, 406, 443, 444, 446, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-H366I-S403C-C404L-P406A-G443D-P444H-L446M-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 368, 403, 404, 406, 443, 444, 446, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-L368I-S403C-C404L-P406A-G443D-P444H-L446M-L448W-L449I or A241D-E339H-L368M-S403C-C404L-P406A-G443D-P444H-L446M-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 368, 403, 404, 405, 406, 443, 444, 446, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-L368M-S403C-C404L-L405M-P406A-G443D-P444H-L446M-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 395, 403, 404, 406, 442, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-A395V-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 442, 443, 444, 448, 449, 454 and 460 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R-A460F.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 349, 403, 404, 406, 442, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-E349M-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 441, 442, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-E441H-D442N-G443D-P444H-L448W-L449I-P454R or A241D-E339H-S403C-C404L-P406A-E441N-D442N-G443D-P444H-L448W-L449I-P454R or A241D-E339H-S403C-C404L-P406A-E441R-D442N-G443D-P444H-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 126, 241, 339, 403, 404, 406, 442, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A126V-A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 442, 443, 444, 448, 449, 454 and 458 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R-H458E or A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R-H458G or A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R-H458L or A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R-H458Q or A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R-H458R or A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R-H458S or A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R-H458Y.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 442, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449V-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 302, 339, 403, 404, 406, 442, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-L302C-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 405, 406, 442, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-L405V-P406A-D442N-G443D-P444H-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 407, 442, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-Q407R-D442N-G443D-P444H-L448W-L449I-P454R or A241D-E339H-S403C-C404L-P406A-Q407S-D442N-G443D-P444H-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 442, 443, 444, 448, 449, 454 and 455 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R-Q455E.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 36, 241, 298, 339, 403, 404, 406, 442, 443, 444, 448, 449 and 454 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: H36Y-A241D-R298S-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 442, 443, 444, 448, 449, and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454A or A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454D or A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454L.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 442, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 442, 443, 444, 448, 449, and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454S.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 442, 443, 444, 448, 449, 454 and 461 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R-R461A or A241 D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R-R461L or A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R-R461M or A241 D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R-R461Q or A241 D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R-R461S or A241 D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-P454R-R461V.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 339, 403, 404, 406, 442, 443, 444, 448, 449, 450 and 454 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W-L449I-T450S-P454R.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 241, 403, 404, 406, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions: A241D-S403C-C404L-P406S-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 5, 241, 403, 404, 406, 443, 444, 448 and 449 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: M5I-A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I.

In a preferred embodiment, the MDC variant according to the invention showing an improved activity in converting 3-methylcrotonic acid into isobutene is characterized in that it comprises deletions, substitutions and/or insertions wherein the deletions/insertions/substitutions are at positions 166, 241, 403, 404, 406, 443, 444, 448, 449 and 452 in the amino acid sequence shown in SEQ ID NO:14 or at positions corresponding to these positions. Preferably, such a variant has the following substitutions in the amino acid sequence shown in SEQ ID NO: 14 or at positions corresponding to these positions: V166D-A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-Y452F.

Preferably, any of the above described variants having multiple mutations further has one or more substitutions, deletions and/or insertions in comparison to the corresponding sequence from which it is derived and wherein these substitutions, deletions and/or insertions occur at one or more of the positions corresponding to positions 448, 2, 3, 5, 6, 24, 25, 35, 36, 64, 74, 80, 85, 86, 126, 129, 154, 166, 175, 195, 196, 197, 198, 204, 208, 214, 236, 237, 238, 240, 277, 298, 302, 339, 343, 347, 350, 359, 366, 368, 390, 391, 394, 395, 396, 398, 401, 402, 403, 404, 405, 406, 407, 408, 426, 439, 440, 441, 442, 444, 446, 447, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 473, 66, 168, 241, 296, 305, 349, 363, 443, 445, 479, and 496 in the amino acid sequence shown in SEQ ID NO:14.

The second part of the present invention also relates to a method for providing a variant of an MDC wherein said variant shows an improved activity of converting 3-methylcrotonic acid into isobutene, said method comprising the step of effecting one or more changes in the sequence of the MDC wherein said change(s) is/are effected at one or more amino acid positions selected from the group consisting of the amino acid positions corresponding to positions 448, 2, 3, 5, 6, 24, 25, 35, 36, 64, 74, 80, 85, 86, 126, 129, 154, 166, 175, 195, 196, 197, 198, 204, 208, 214, 236, 237, 238, 240, 277, 298, 302, 339, 343, 347, 350, 359, 366, 368, 390, 391, 394, 395, 396, 398, 401, 402, 403, 404, 405, 406, 407, 408, 426, 439, 440, 441, 442, 444, 446, 447, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 473, 66, 168, 241, 296, 305, 349, 363, 443, 445, 479, and 496 in the amino acid sequence shown in SEQ ID NO: 14. “Corresponding to” means corresponding to any of these positions in a related sequence.

As regards the preferred embodiments of an MDC to be mutated according to such a method, the same applies as has been set forth herein-above.

In one preferred embodiment the MDC from which the MDC variant is derived is an MDC which shows the amino acid sequence as shown in SEQ ID NO: 14 or an amino acid sequence having at least 63%, 64%, 70%, 74%, 77%, 78%, 80%, 90%, 94% or 97% sequence identity to SEQ ID NO: 14 or any of the preferred degrees of sequence identity as specified herein above.

Moreover, as regards preferred embodiments of the degree of improvement in activity and the changes to be effected, the same applies as described herein above.

The change(s) which is/are effected at any of the above position(s) is/are substitution(s), deletion(s) and/or insertion(s) as defined herein above.

An MDC variant of the second part of the present invention can be fused to a homologous or heterologous polypeptide or protein, an enzyme, a substrate or a tag to form a fusion protein. Fusion proteins in accordance with the present invention will have the same improved activity as the MDC variant of the present invention. Polypeptides, enzymes, substrates or tags that can be added to another protein are known in the art. They may useful for purifying or detecting the proteins of the invention. For instance, tags that can be used for detection and/or purification are e.g. FLAG-tag, His6-tag or a Strep-tag. Alternatively, the protein of the invention can be fused to an enzyme e.g. luciferase, for the detection or localisation of said protein. Other fusion partners include, but are not limited to, bacterial β-galactosidase, trpE, Protein A, β-lactamase, alpha amylase, alcohol dehydrogenase or yeast alpha mating factor. It is also conceivable that the polypeptide, enzyme, substrate or tag is removed from the protein of the invention after e.g. purification. Fusion proteins can typically be made by either recombinant nucleic acid methods or by synthetic polypeptide methods known in art.

The second part of the present invention further relates to a nucleic acid molecule encoding an MDC variant of the present invention and to a vector comprising said nucleic acid molecules. Vectors that can be used in accordance with the present invention are known in the art. The vectors can further comprise expression control sequences operably linked to the nucleic acid molecules of the present invention contained in the vectors. These expression control sequences may be suited to ensure transcription and synthesis of a translatable RNA in bacteria or fungi. Expression control sequences can for instance be promoters. Promoters for use in connection with the nucleic acid molecules of the present invention may be homologous or heterologous with regard to its origin and/or with regard to the gene to be expressed. Suitable promoters are for instance promoters which lend themselves to constitutive expression. However, promoters which are only activated at a point in time determined by external influences can also be used. Artificial and/or chemically inducible promoters may be used in this context.

Preferably, the vector of the present invention is an expression vector. Expression vectors have been widely described in the literature. As a rule, they contain not only a selection marker gene and a replication-origin ensuring replication in the host selected, but also a bacterial or viral promoter, and in most cases a termination signal for transcription. Between the promoter and the termination signal there is in general at least one restriction site or a polylinker which enables the insertion of a coding DNA sequence. The DNA sequence naturally controlling the transcription of the corresponding gene can be used as the promoter sequence, if it is active in the selected host organism. However, this sequence can also be exchanged for other promoter sequences. It is possible to use promoters ensuring constitutive expression of the gene and inducible promoters which permit a deliberate control of the expression of the gene. Bacterial and viral promoter sequences possessing these properties are described in detail in the literature. Regulatory sequences for the expression in microorganisms (for instance E. coli, S. cerevisiae) are sufficiently described in the literature. Promoters permitting a particularly high expression of a downstream sequence are for instance the T7 promoter (Studier et al., Methods in Enzymology 185 (1990), 60-89), lacUV5, trp, trp-lacUV5 (DeBoer et al., in Rodriguez and Chamberlin (Eds), Promoters, Structure and Function; Praeger, New York, (1982), 462-481; DeBoer et al., Proc. Natl. Acad. Sci. USA (1983), 21-25), lp1, rac (Boros et al., Gene 42 (1986), 97-100). Inducible promoters are preferably used for the synthesis of polypeptides. These promoters often lead to higher polypeptide yields than do constitutive promoters. In order to obtain an optimum amount of polypeptide, a two-stage process is often used. First, the host cells are cultured under optimum conditions up to a relatively high cell density. In the second step, transcription is induced depending on the type of promoter used. In this regard, a tac promoter is particularly suitable which can be induced by lactose or IPTG (=isopropyl-1-D-thiogalactopyranoside) (deBoer et al., Proc. Natl. Acad. Sci. USA 80 (1983), 21-25). Termination signals for transcription are also described in the literature.

In addition, the second part of the present invention relates to a host cell comprising the nucleic acid molecule or the vector of the present invention.

In a preferred embodiment, the host cell according to the presenting invention is a microorganism, in particular a bacterium or a fungus. In a more preferred embodiment, the host cell of the present invention is E. coli, a bacterium of the genus Clostridium or a yeast cell, such as S. cerevisiae. In another preferred embodiment the host cell is a plant cell or a non-human animal cell.

The transformation of the host cell with a vector according to the invention can be carried out by standard methods, as for instance described in Sambrook and Russell (2001), Molecular Cloning: A Laboratory Manual, CSH Press, Cold Spring Harbor, N.Y., USA; Methods in Yeast Genetics, A Laboratory Course Manual, Cold Spring Harbor Laboratory Press, 1990. The host cell is cultured in nutrient media meeting the requirements of the particular host cell used, in particular in respect of the pH value, temperature, salt concentration, aeration, antibiotics, vitamins, trace elements etc.

As mentioned above, the enzymatic conversion of 3-methylcrotonic acid into isobutene utilizing an MDC is preferably performed in the presence of an FMN prenyl transferase and relies on a reaction of two consecutive steps catalyzed by the two enzymes, i.e., the MDC (catalyzing the actual decarboxylation of 3-methylcrotonic acid into isobutene) with an FMN prenyl transferase which provides the modified flavin cofactor. The flavin cofactor may preferably be FMN or FAD. FMN (flavin mononucleotide; also termed riboflavin-5′-phosphate) is a biomolecule produced from riboflavin (vitamin B2) by the enzyme riboflavin kinase and functions as prosthetic group of various reactions. FAD (flavin adenine dinucleotide) is a redox cofactor, more specifically a prosthetic group, involved in several important reactions in metabolism. Thus, in a preferred embodiment, when producing isobutene from 3-methylcrotonic acid comprising the step of incubating an MDC variant of the invention with 3-methylcrotonic acid an FMN prenyl transferase is present which, in a first step, modifies a flavin cofactor (FMN or FAD) into a (modified) flavin-derived cofactor. FMN prenyl transferase prenylates the flavin ring of the flavin cofactor (FMN or FAD) into a (modified) prenylated flavin cofactor. This reaction is schematically illustrated in FIG. 1A.

In a second step, the actual conversion of 3-methylcrotonic acid into isobutene is catalyzed by said MDC variant via a 1,3-dipolar cycloaddition based mechanism wherein said FMN-dependent decarboxylase uses the prenylated flavin cofactor (FMN or FAD) provided by the associated FMN prenyl transferase. This reaction is schematically illustrated in FIG. 1B.

Thus, preferably, the host cell of the present invention is a cell which expresses an FMN prenyl transferase capable of modifying a flavin cofactor (FMN or FAD) into a (modified) flavin-derived cofactor. In a preferred embodiment, the host cell is a cell which naturally (endogenously) expresses an FMN prenyl transferase. In another preferred embodiment, the host cell is a cell which recombinantly expresses an FMN prenyl transferase by, e.g., introducing a nucleic acid molecule encoding an FMN prenyl transferase or a vector comprising such a nucleic acid molecule.

In a preferred embodiment, said FMN prenyl transferase which modifies the flavin cofactor (FMN or FAD) into a (modified) flavin-derived cofactor is a phenylacrylic acid decarboxylase (PAD)-type protein, or the closely related prokaryotic enzyme UbiX, an enzyme which is involved in ubiquinone biosynthesis in prokaryotes.

In Escherichia coli, the protein UbiX (also termed 3-octaprenyl-4-hydroxybenzoate carboxy-lyase) has been shown to be involved in the third step of ubiquinone biosynthesis.

It catalyses the reaction 3-octaprenyl-4-hydroxybenzoate

2-octaprenylphenol+CO₂.

Thus, in a preferred embodiment, the modification of a flavin cofactor (FMN or FAD) into the corresponding (modified) flavin-derived cofactor is catalyzed by the FMN-containing protein phenylacrylic acid decarboxylase (PAD). The enzymes involved in the modification of the flavin cofactor (FMN or FAD) into the corresponding modified flavin-derived cofactor were initially annotated as decarboxylases (EC 4.1.1.-). Some phenylacrylic acid decarboxylases (PAD) are now annotated as flavin prenyl transferases as EC 2.5.1.-.

In a more preferred embodiment, the conversion of 3-methylcrotonic acid into isobutene makes use of a phenylacrylic acid decarboxylase (PAD)-type protein as the FMN prenyl transferase which modifies a flavin cofactor (FMN or FAD) into the corresponding (modified) flavin-derived cofactor wherein said phenylacrylic acid decarboxylase (PAD)-type protein is derived from Candida albicans (Uniprot accession number Q5A8L8), Aspergillus niger (Uniprot accession number A3F715), Saccharomyces cerevisiae (Uniprot accession number P33751) or Cryptococcus gattii (Uniprot accession number E6R9Z0).

In a preferred embodiment, the phenylacrylic acid decarboxylase (PAD)-type protein employed in the method of the present invention is a phenylacrylic acid decarboxylase (PAD)-type protein derived from Candida albicans (Uniprot accession number Q5A8L8; SEQ ID NO:3), Aspergillus niger (Uniprot accession number A3F715; SEQ ID NO:4), Saccharomyces cerevisiae (Uniprot accession number P33751; SEQ ID NO:5) or Cryptococcus gattii (Uniprot accession number E6R9Z0; SEQ ID NO:6) having the amino acid sequence as shown in SEQ ID NO:3, SEQ ID NO:4, SEQ ID NO:5 and SEQ ID NO:6, respectively.

In a preferred embodiment of the present invention the phenylacrylic acid decarboxylase (PAD)-type protein is an enzyme comprising an amino acid sequence selected from the group consisting of SEQ ID NOs: 3 to 6 or a sequence which is at least n % identical to any of SEQ ID NOs: 3 to 6 with n being an integer between 10 and 100, preferably 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 91, 92, 93, 94, 95, 96, 97, 98 or 99 and wherein the enzyme has the enzymatic activity of modifying a flavin cofactor (FMN or FAD) into the corresponding (modified) flavin-derived cofactor. As regards the determination of sequence identity, the same applies as has been set forth above.

In another preferred embodiment, the modification of a flavin cofactor (FMN or FAD) into the corresponding (modified) flavin-derived cofactor is catalyzed by the FMN-containing protein 3-octaprenyl-4-hydroxybenzoate carboxy-lyase also termed UbiX (initially annotated EC 4.1.1.-). As mentioned above, the enzymes involved in the modification of the flavin cofactor (FMN or FAD) into the corresponding modified flavin-derived cofactor were initially annotated as decarboxylases. Some phenylacrylic acid decarboxylases (PAD) are now annotated as flavin prenyl transferases as EC 2.5.1.-.

In a more preferred embodiment, the conversion of 3-methylcrotonic acid into isobutene makes use of a 3-octaprenyl-4-hydroxybenzoate carboxy-lyase (also termed UbiX) as the FMN prenyl transferase which modifies the flavin cofactor (FMN or FAD) into the corresponding (modified) flavin-derived cofactor wherein said 3-octaprenyl-4-hydroxybenzoate carboxy-lyase (also termed UbiX) is derived from Escherichia coli (Uniprot accession number P0AG03), Bacillus subtilis (Uniprot accession, number A0A086WXG4), Pseudomonas aeruginosa (Uniprot accession number A0A072ZCW8) or Enterobacter sp. DC4 (Uniprot accession number W7P6B1).

In an even more preferred embodiment, the 3-octaprenyl-4-hydroxybenzoate carboxy-lyase (also termed UbiX) employed in the method of the present invention is a 3-octaprenyl-4-hydroxybenzoate carboxy-lyase (also termed UbiX) derived from Escherichia coli (Uniprot accession number P0AG03; SEQ ID NO:2), Bacillus subtilis (Uniprot accession, number A0A086WXG4; SEQ ID NO:7), Pseudomonas aeruginosa (Uniprot accession number A0A072ZCW8; SEQ ID NO:8) or Enterobacter sp. DC4 (Uniprot accession number W7P6B1; SEQ ID NO:9) having the amino acid sequence as shown in SEQ ID NO:2, SEQ ID NO:7, SEQ ID NO:8 and SEQ ID NO:9, respectively.

In a preferred embodiment of the present invention the 3-octaprenyl-4-hydroxybenzoate carboxy-lyase is an enzyme comprising an amino acid sequence selected from the group consisting of SEQ ID NOs: 2 and 7 to 9 or a sequence which is at least n % identical to any of SEQ ID NOs: 2 and 7 to 9 with n being an integer between 10 and 100, preferably 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 91, 92, 93, 94, 95, 96, 97, 98 or 99 and wherein the enzyme has the enzymatic activity of modifying a flavin cofactor (FMN or FAD) into the corresponding (modified) flavin-derived cofactor. As regards the determination of the sequence identity, the same applies as has been set forth above.

The second part of the present invention also relates to a method for producing isobutene from 3-methylcrotonic acid comprising the step of incubating an MDC variant of the invention with 3-methylcrotonic acid under conditions allowing said conversion (preferably further in the presence of an FMN prenyl transferase as described above) or comprising the step of culturing a host cell of the present invention expressing an MDC variant (and preferably further expressing an FMN prenyl transferase as described above) in a suitable medium and recovering the produced isobutene.

It is also conceivable in this context that in such a method not only one enzyme according to the present invention is employed but a combination of two or more enzymes.

The second part of the present invention also relates to the use of an MDC variant or a host cell of the present invention as described above for the conversion of 3-methylcrotonic acid into isobutene, preferably in the presence of an FMN prenyl transferase or in the presence of a host co-expressing an FMN prenyl transferase as described herein above. Moreover, in a further embodiment, the present invention relates to a method for producing isobutene from 3-methylcrotonic acid by bringing 3-methylcrotonic acid into contact with the MDC variant of the present invention, preferably in the presence of an FMN prenyl transferase, or with a host cell comprising a nucleic acid molecule encoding the MDC variant of the present invention, wherein said host cell preferably expresses an FMN prenyl transferase. Thus, in a preferred embodiment, the present invention relates to a method for converting 3-methylcrotonic acid into isobutene comprising the steps of: (i) culturing the above-described host cell of the invention in a suitable medium; and (ii) achieving the production of isobutene from 3-methylcrotonic acid.

Thus, in a preferred embodiment, the present invention relates to methods and uses utilizing a host cell of the present invention which expresses an MDC variant of the present invention and, preferably, further expressing an FMN prenyl transferase as described herein above.

In another preferred embodiment, such a host cell is an organism which is capable of producing 3-methylcrotonic acid.

In another preferred embodiment, the method according to the invention is carried out in culture, in the presence of an organism, preferably a microorganism, producing an enzyme variant of the present invention and, preferably, also producing an FMN prenyl transferase. In such an embodiment of the invention, an organism, preferably a microorganism, that produces an enzyme of the present invention and, preferably, also producing an FMN prenyl transferase, is used. In a preferred embodiment, the (micro)organism is recombinant in that the enzyme produced by the host is heterologous relative to the production host. The method can thus be carried out directly in the culture medium, without the need to separate or purify the enzymes. In an especially advantageous manner, a (micro)organism is used having the natural or artificial property of endogenously producing 3-methylcrotonic acid so as to produce isobutene directly from the substrate already present in the culture in solution.

In connection with the above described methods and uses, the microorganisms are cultivated under suitable culture conditions allowing the occurrence of the enzymatic reaction of the MDC variants of the present invention (and, preferably, also the FMN prenyl transferases as described above). The specific culture conditions depend on the specific microorganism employed but are well known to the person skilled in the art. The culture conditions are generally chosen in such a manner that they allow the expression of the genes encoding the MDC variant of the present invention (and, preferably, also an FMN prenyl transferase as described above). Various methods are known to the person skilled in the art in order to improve and fine-tune the expression of certain genes at certain stages of the culture such as induction of gene expression by chemical inducers or by a temperature shift.

In another embodiment, the above described methods of the invention comprise the step of providing the organism, preferably the microorganism carrying the respective enzyme activity or activities in the form of a (cell) culture, preferably in the form of a liquid cell culture, a subsequent step of cultivating the organism, preferably the microorganism in a fermenter (often also referred to a bioreactor) under suitable conditions allowing the expression of the respective enzyme and further comprising the step of effecting an enzymatic conversion of a method of the invention as described herein above. Suitable fermenter or bioreactor devices and fermentation conditions are known to the person skilled in the art.

A bioreactor or a fermenter refers to any manufactured or engineered device or system known in the art that supports a biologically active environment. Thus, a bioreactor or a fermenter may be a vessel in which a chemical/biochemical process like the method of the present invention is carried out which involves organisms, preferably microorganisms and/or biochemically active substances, i.e., the enzyme(s) described above derived from such organisms or organisms harbouring the above described enzyme(s). In a bioreactor or a fermenter, this process can either be aerobic or anaerobic. These bioreactors are commonly cylindrical, and may range in size from litres to hundreds of cubic meters, and are often made of stainless steel. In this respect, without being bound by theory, the fermenter or bioreactor may be designed in a way that it is suitable to cultivate the organisms, preferably microorganisms, in, e.g., a batch-culture, feed-batch-culture, perfusion culture or chemostate-culture, all of which are generally known in the art.

The culture medium can be any culture medium suitable for cultivating the respective organism or microorganism.

In yet a further embodiment, the method according to the invention can be carried out in vitro, e.g. in the presence of isolated enzyme or of cell lysates comprising the enzyme or partially purified enzyme preparations comprising the MDC variant of the present invention (and, preferably, also an FMN prenyl transferase as described above). In vitro preferably means in a cell-free system.

In one embodiment, the enzyme(s) employed in the method is (are) used in purified form. However, such a method may be costly, since enzyme and substrate production and purification costs are high.

Thus, in another preferred embodiment, the enzymes employed in the method are present in the reaction as a non-purified extract, or else in the form of non-lysed bacteria, so as to economize on protein purification costs. However, the costs associated with such a method may still be quite high due to the costs of producing and purifying the substrates.

In an in vitro reaction the enzymes, native or recombinant, purified or not, are incubated in the presence of the substrate in physicochemical conditions allowing the enzymes to be active, and the incubation is allowed to proceed for a sufficient period of time allowing production of the desired product as described above. At the end of the incubation, one optionally measures the presence of isobutene by using any detection system known to one of skill in the art such as gas chromatography or colorimetric tests for measuring the formation of isobutene.

In a particularly preferred embodiment of the invention the method is carried out in vitro and the enzyme is immobilized. Means and methods for immobilizing enzymes on different supports are well-known to the person skilled in the art.

The method according to the invention furthermore comprises the step of collecting gaseous products, i.e. isobutene, degassing out of the reaction, i.e. recovering the product which degasses, e.g., out of the culture. Thus, in a preferred embodiment, the method is carried out in the presence of a system for collecting isobutene under gaseous form during the reaction.

As a matter of fact, isobutene adopts the gaseous state at room temperature and atmospheric pressure. Moreover, isobutene also adopts the gaseous state under culture conditions at 37° C. The method according to the invention therefore does not require extraction of isobutene from the liquid culture medium, a step which is always very costly when performed at industrial scale. The evacuation and storage of gaseous hydrocarbons, in particular of isobutene, and their possible subsequent physical separation and chemical conversion can be performed according to any method known to one of skill in the art.

Finally, the second part of the present invention relates to a composition comprising a variant of an MDC of the present invention, a nucleic acid molecule of the present invention, a vector of the present invention or a host cell of the present invention. As regards the variant of an MDC, the nucleic acid molecule, the vector or the host cell, the same applies as has been set forth above in connection with the methods according to the present invention.

In this specification, a number of documents including patent applications are cited. The disclosure of these documents, while not considered relevant for the patentability of this invention, is herewith incorporated by reference in its entirety. More specifically, all referenced documents are incorporated by reference to the same extent as if each individual document was specifically and individually indicated to be incorporated by reference.

FIG. 1A: shows a schematic reaction of the enzymatic prenylation of a flavin mononucleotide (FMN) into the corresponding modified (prenylated) flavin cofactor.

FIG. 1B: Schematic reaction of the enzymatic conversion of 3-methylcrotonic acid into isobutene.

FIG. 2: Multiple Sequence Alignment of 19 protein homologues of the Hypocrea atroviridis Ferulic acid decarboxylase 1 (G9NLP8), focussing on the K401-G413 segment of G9NLP8.

FIG. 3: Isobutene (IBN) production from 10 mM 3-methylcrotonic acid of homologues MDC and their T→M variants at different temperatures (30, 40, 50 and 60° C.).

FIG. 4: Isobutene (IBN) production from 30 mM 3-methylcrotonic acid (3MC) after two hours of incubation with two 3-methylcrotonic acid decarboxylase (3-MDC) enzymes. Ss5: enzyme from Streptomyces sp. 769 (Uniprot Accession Number A0A0A8EV26); Ha: enzyme from Hypocrea atroviridis (Uniprot Accession Number G9NLP8). Tests are conducted in 384 or 96 microplates (DW384 and DW96), in vitro and in vivo.

FIG. 5: Isobutene (IBN) production from 30 mM 3-methylcrotonic acid (3MC) after two hours of incubation with two 3-methylcrotonic acid decarboxylase (3MDC) enzymes (Ss5 and Ha) fused with a 6-His-tag. Ss5: enzyme from Streptomyces sp. 769 (Uniprot Accession Number A0A0A8EV26); Ha: enzyme from Hypocrea atroviridis (Uniprot Accession Number G9NLP8). Tests are conducted in 384 or 96 microplates (DW384 and DW96), in vitro and in vivo.

The invention will now be described by reference to the following examples which are merely illustrative and are not to be construed as a limitation of the scope of the present invention.

EXAMPLES—FIRST PART Example 1: Directed Evolution Strategy

The enzyme Hypocrea atroviridis Ferulic acid decarboxylase 1 (SEQ ID NO:1) is capable of catalysing, amongst other reactions, the decarboxylation of 3-methylcrotonic acid (3MC) into isobutene (IBN). A directed evolution approach was used in order to specifically improve the catalytic efficiency of this reaction. This approach consisted in (1) the design of assay systems to test the activity of enzyme variants, (2) the generation of collections of single point or multiple mutants for Hypocrea atroviridis Ferulic acid decarboxylase 1, and (3) the use of the activity assays to screen the collection of mutants in order to identify variants with improved activity compared to the activity of the wild type Hypocrea atroviridis Ferulic acid decarboxylase 1.

This approach led to the identification and characterization of a collection of mutants with increased activity compared to the wild type enzyme.

Example 2: Construction of Hypocrea atroviridis Ferulic Acid Decarboxylase 1 Enzyme Mutants

The polynucleotide sequences coding for the different mutants identified during the evolution of the Hypocrea atroviridis Ferulic acid decarboxylase 1 enzyme were generated using a range of standard molecular biology techniques. All these techniques used a codon-optimised polynucleotide sequence for expression in Escherichia coli as template. The sequence optimisation has been done by Geneart using their GeneOptimizer software.

Different PCR-based techniques known in the art were used for the construction of single-point mutants. For the generation of enzyme variants bearing multiple mutations (at least two mutations), either PCR-based techniques or other methods known in the art were used to introduce these mutations.

Following mutagenesis, the mutated polynucleotide sequence was inserted into a pETDuet™-1 co-expression vector (Novagen) (used for recombinant protein production in E. coli and screening) in addition to the cDNA of the Flavin prenyltransferase UbiX protein from E. coli either using standard ligase-based subcloning techniques, whole plasmid extension by PCR or ligase-independent cloning techniques.

Example 3: Selection of the Enzyme Mutants with Increased Activity

Two different screening methods were developed and used during the evolution of the Hypocrea atroviridis Ferulic acid decarboxylase 1 enzyme.

1.) In Vivo Assay in 384-Well Microplates Based on Exogenous 3MC (In Vivo 1)

This assay is based on the use of a bacterial strain (BL21(DE3), Novagen) transformed with the above expression vector that contain the above-described coding sequences leading to the production of the last two enzymes involved in the metabolic pathway converting 3MC into isobutene, namely the Hypocrea atroviridis Ferulic acid decarboxylase 1 variants and the Flavin prenyltransferase UbiX protein from E. coli. This strain is first plated out onto LB-agar plates supplemented with the appropriate antibiotic. Cells were grown overnight at 30° C. until individual colonies reach the desired size. Single colonies were then picked and individually transferred into 50 μL of liquid LB medium supplemented with the appropriate antibiotic. Cell growth is carried out with shaking for 20 hours at 30° C. The LB cultures were used to inoculate 300 μL in 384 deepwell microplates of auto-induction medium (Studier F W, Prat. Exp. Pur. 41, (2005), 207-234) supplemented with the appropriate antibiotic and grown in a shaking incubator set at 700 rpm and 85% humidity for 24 h at 30° C. in order to produce the two recombinant enzymes. The cell pellet containing these two overexpressed recombinant enzymes is then resuspended in 40 μL of minimum medium (pH 7.5, Phosphate 100 mM, Glucose 10 g·L⁻¹, MgSO₄ 1 mM) supplemented with 10 mM 3MC and incubated for a further 2 or 4 hours in a shaking incubator at 30° C., 700 rpm. During this step, the Hypocrea atroviridis Ferulic acid decarboxylase 1 variants catalyse the decarboxylation of 3MC into IBN. After 5 min inactivation at 80° C., the IBN produced is quantified by gas chromatography as described in the following. 100 μL of headspace gases from each enzymatic reaction are injected in a Brucker GC-450 system equipped with a Flame Ionization Detector (FID). Compounds present in samples were separated by chromatography using a RTX-1 columns at 100° C. with a 1 mL·min⁻¹ constant flow of nitrogen as carrier gas. Upon injection, peak areas of isobutene were calculated.

2.) In Vivo Assay in 96-Well Microplates Based on Exogenous 3MC (In Vivo 2)

This assay is based on the use of a bacterial strain (BL21(DE3), Novagen) transformed with the above expression vector that contains the coding sequences as described above, leading to the production of the last two enzymes involved in the metabolic pathway converting 3MC to isobutene; namely the Hypocrea atroviridis Ferulic acid decarboxylase 1 variants and the Flavin prenyltransferase UbiX protein from E. coli. This strain is first plated out onto LB-agar plates supplemented with the appropriate antibiotic. Cells were grown overnight at 30° C. until individual colonies reach the desired size. Single colonies were then picked and individually transferred into 500 μL of liquid LB medium supplemented with the appropriate antibiotic. Cell growth is carried out with shaking for 20 hours at 30° C. or 32° C. The LB cultures were used to inoculate 1 mL in 96 deepwell microplates of auto-induction medium (Studier F W, Prat. Exp. Pur. 41, (2005), 207-234) supplemented with the appropriate antibiotic and grown in a shaking incubator set at 700 rpm and 85% humidity for 24 h at 30° C. or 32° C. in order to produce the two recombinant enzymes. The cell pellet containing these two overexpressed recombinant enzymes is then resuspended in 400 μL of minimum medium (pH 7.5, Phosphate 100 mM, Glucose 10 g·L⁻¹, MgSO₄ 1 mM) supplemented with 10 mM 3MC and incubated for a further 2 or 4 hours in a shaking incubator at 30° C. or 36° C., 700 rpm. During this step, the Hypocrea atroviridis Ferulic acid decarboxylase 1 variants catalyse the decarboxylation of 3MC into IBN. After 5 min inactivation at 80° C., the IBN produced is quantified by gas chromatography as described in the following. 100 μL of headspace gases from each enzymatic reaction are injected in a Brucker GC-450 system equipped with a Flame Ionization Detector (FID). Compounds present in samples were separated by chromatography using a RTX-1 columns at 100° C. with a 1 mL·min⁻¹ constant flow of nitrogen as carrier gas. Upon injection, peak areas of isobutene were calculated.

Example 4: Identification of Variants of Hypocrea atroviridis Ferulic Acid Decarboxylase 1 with Further Increased Activity for the Reaction of Conversion of 3-Methylcrotonic Acid into Isobutene

A collection of mutants has been created by mutagenesis, using the Hypocrea atroviridis Ferulic acid decarboxylase 1 (SEQ ID NO: 1) as template. Several variants with an enhanced activity in converting 3-methylcrotonic acid into isobutene have been identified through in vivo screening assays as described above. A first round of screening with 59508 clones has been performed using the above IN VIVO 1 assay. The best 927 clones were then tested in 12-replicate using the same protocol. The plasmids of the best 95 variants were individually extracted, transformed into fresh competent BL21(DE3) cells and then tested in 8-replicate assays according to the above-described IN VIVO 2 assay.

The list of improved variants is presented in the following Table 1 and the list of the individual positions presenting an increase in activity is shown in Table 2. The improvement factor shown in the below Table 1 reflects the average value of 8 replicates of the relative quantity of isobutene which has been produced and measured according to the above-described IN VIVO 2 assay compared to the wild type enzyme.

TABLE 1 List of Hypocrea atroviridis Ferulic acid decarboxylase 1 variants presenting an increase in isobutene production from 3-methylcrotonic acid Improvement Improvement Mutations Factor/WT Mutations Factor/WT T405M 7.9 P13I 1.8 T405F 4.7 L195Y 1.8 S2Q 4.4 V439L 1.8 S2A 4.3 I337M 1.8 L195C 4.3 L506I 1.8 L449I 4.3 F11L 1.7 S2K 4.2 P13Y 1.7 S2L 4.1 P120S 1.7 S2V 4.0 T429S 1.7 S3A 3.9 T436N 1.7 S3Y 3.8 G435M 1.7 S2F 3.7 L195V 1.7 S3K L511M 3.7 A149V 1.6 T4N F91L 3.5 F447Y 1.6 S2N 3.5 P13S 1.6 T4E 3.5 Q29N 1.6 S3K M284Y 3.5 A10H 1.6 S3W 3.2 N31G 1.6 S3G 3.2 Q214A 1.5 M293L 3.2 V40I 1.5 S3P 3.1 L195F 1.5 T4M 3.1 N31E N501E 1.5 S3E 3.0 E25N 1.5 T405L 2.9 T429A 1.4 S2D E89S 2.8 N501K 1.4 T4L 2.7 E9P 1.4 V40M 2.6 I197F 1.4 D35M 2.5 Q448S 1.4 K422M 2.4 D35T 1.4 Q448W 2.3 A146S 1.4 L195I 2.3 D442T 1.4 A285L 2.3 P13H 1.3 L195W 2.2 Q214V 1.3 V34A 2.2 V445P 1.3 D12S 2.1 V445E 1.3 L500A 2.1 L33I 1.3 D351R 2.1 A381R 1.3 V34I 2.1 L221C 1.3 Q214T 2.1 L449M 1.2 E9Y 2.0 T405Q 1.2 L195M 2.0 T405P 1.2 F447W 2.0 T376I A388E 1.2 L114S 2.0 D35S 1.2 P13N 1.9 L449V 1.2 E9H 1.9 Q29S 1.2 F11P 1.8 N141D 1.2 D43R 1.8 F441Y 1.2 D420L 1.8

TABLE 2 List of the positions modified in the variants of Hypocrea atroviridis Ferulic acid decarboxylase 1 with increased activity Position Wild-Type Amino Acid Mutations  2 S A, D, F, K, L, N, Q, V  3 S A, E, G, K, P, W, Y,  4 T E, L, M, N  9 E H, P, Y  10 A H  11 F L, P  12 D S  13 P H, I, N, S, Y  25 E N  29 Q N, S  31 N E, G  33 L I  34 V A, I  35 D M, S, T  40 V I, M  43 D R  89 E S  91 F L 114 L S 120 P S 141 N D 146 A S 149 A V 195 L C, F, I, M, V, W, Y 197 I F 214 Q A, T, V 221 L C 284 M Y 285 A L 293 M L 337 I M 351 D R 376 T I 381 A R 388 A E 405 T F, L, M, P, Q 420 D L 422 K M 429 T A, S 435 G M 436 T N 439 V L 441 F Y 442 D T 445 V E, P 447 F W, Y 448 Q S, W 449 L I, M, V 500 L A 501 N E, K 506 L I 511 L M

Example 5: In Vitro Activities of the Hypocrea atroviridis Ferulic Acid 1 Decarboxylase WT and T405M Mutant

Gene Synthesis, Cloning, Expression and Purification of Ferulic Acid Decarboxylases

The pETDuet™-1 co-expression vectors encoding Hypocrea atroviridis Ferulic acid 1 decarboxylase WT or T405M variant and the Flavin prenyltransferase UbiX protein from E. coli were obtained according to the procedure described in Example 2 and 3.

The provided vector contained a stretch of 6 histidine codons after the methionine initiation codon of the ferulic acid decarboxylases in order to specifically purify the ferulic acid decarboxylase.

Competent E. coli BL21 (DE3) cells (Novagen) were transformed with these vectors according to standard heat shock procedures. The transformed cells were grown with shaking (160 rpm) using ZYM-5052 auto-induction medium (Studier F W, Prot. Exp. Pur. 41, (2005), 207-234) at 30° C. during 24 h. The cells were collected by centrifugation at 4° C., 10,000 rpm for 20 min and the pellets were stored at −80° C. Pellets from 500 ml of culture cells were thawed on ice and resuspended in 15 ml of 50 mM potassium phosphate buffer containing 200 mM NaCl, 10 mM MgCl₂, 10 mM imidazole and 1 mM DTT. Twenty microliters of lysonase (Novagen) were added. Cells were incubated 10 minutes at room temperature and then returned to ice for 20 minutes. Cell lysis was completed by sonication for 2×15 seconds.

The bacterial extracts were then clarified by centrifugation at 4° C., 4000 rpm for 40 min. The clarified bacterial lysates were loaded onto a PROTINO-2000 Ni-TED column (Macherey-Nagel) allowing adsorption of 6-His tagged proteins. Columns were washed and the enzymes of interest were eluted with 6 ml of 50 mM potassium phosphate buffer containing 250 mM imidazole. Eluates were then concentrated, desalted on a Amicon Ultra-4 10 kDa filter unit (Millipore) and enzymes were resuspended in 50 mM potassium phosphate buffer containing 1 mM DTT and 20 mM NaCl. The purity of Ferulic acid decarboxylases thus purified varied from 80% to 90% as estimated by SDS-PAGE analysis. Protein concentrations were determined by direct UV 280 nm measurement on the NanoDrop 1000 spectrophotometer (Thermo Scientific) or by a Bradford assay (BioRad).

Production of Flavin Prenyltransferases

In order to perform enzymatic assays, the Flavin prenyltransferase UbiX protein from E. coli was also produced separately. Vector pCAN containing the gene coding for the Flavin prenyltransferase UbiX protein from E. coli was purchased from NAIST (Nara Institute of Science and Technology, Japan, ASKA collection).

Competent E. coli BL21 (DE3) cells (Novagen) were transformed with this vector according to standard heat shock procedures. The transformed cells were grown with shaking (160 rpm) using ZYM-5052 auto-induction medium (Studier F W, Prot. Exp. Pur. 41, (2005), 207-234) at 30° C. during 24 h. The cells were collected by centrifugation at 4° C., 10,000 rpm for 20 min and the pellets were stored at −80° C. Pellets from 500 ml of culture cells were thawed on ice and resuspended in 15 ml of 50 mM potassium phosphate buffer containing 200 mM NaCl, 10 mM MgCl₂, 10 mM imidazole and 1 mM DTT. Twenty microliters of lysonase (Novagen) were added. Cells were incubated 10 minutes at room temperature and then returned to ice for 20 minutes. Cell lysis was completed by sonication for 2×15 seconds. The cellular lysate containing the UbiX protein was kept on ice.

Enzymatic Assay

Enzymatic assays were performed with Ferulic acid decarboxylase purified as described above, supplemented with a fresh cellular lysate containing the UbiX protein (see above). 0.5 M stock solution of 3-methylcrotonic acid was prepared in water and adjusted to pH 7.0 with 10 M solution of NaOH. Enzymatic assays were carried out in 2 ml glass vials (Interchim) under the following conditions: 50 mM potassium phosphate pH 7.5; 20 mM NaCl; 3 mM MgCl₂; 5 mM DTT; 64 mM 3-methylcrotonic acid; 0.5 mg/ml purified of Ferulic acid decarboxylase (FDC) WT or T405M variant; 100 μl of the lysate contained the Flavin prenyltransferase UbiX protein; total volume of the assays were 300 μl.

The vials were sealed and incubated for 60 minutes at 30° C. A control without Ferulic acid decarboxylase was performed in parallel. The assays were stopped by incubating for 2 minute at 80° C. and the isobutene formed in the reaction headspace was analysed by Gas Chromatography (GC) equipped with a Flame Ionization Detector (FID). For the GC headspace analysis, one ml of the headspace gas was separated in a Bruker GC-450 system equipped with a GS-alumina column (30 m×0.53 mm) (Agilent) using isothermal mode at 130° C. Nitrogen was used as carrier gas with a flow rate of 6 ml/min. The enzymatic reaction product was identified by comparison with an isobutene standard. Under these GC conditions, the retention time of isobutene was 2.42 min.

Results

Under these conditions, the T405M variant of Hypocrea atroviridis Ferulic acid decarboxylase 1 is about 7 time more efficient than the WT corresponding enzyme for the conversion of 3-methylcrotonic acid into isobutene; see Table 3.

TABLE 3 Isobutene peak area, arbitrary unit FDC WT 1680 FDC T405M 11550 without FDC 2

Example 6: Identification of a Signature Sequence Around Position 405 of Hypocrea atroviridis Ferulic Acid Decarboxylase 1 (SEQ ID NO:1)

The two variants of Hypocrea atroviridis Ferulic acid decarboxylase 1 (SEQ ID NO:1) having the highest increase in activity harbor a mutation at position 405.

Hypocrea atroviridis belongs to the Pezizomycotina subphylum of the Ascomycota phylum. Thus, the Hypocrea atroviridis Ferulic acid decarboxylase has been compared with 1 to 19 homologue proteins belonging to the Pezizomycotina subphylum (Table 4) which are capable of catalyzing the conversion of 3-methylcrotonic acid into isobutene.

These sequences have been compared in a multiple-sequence alignment using the T-Coffee software in “accurate” mode, combining sequence, structure and profile alignment (Notredame et al., JMB 302 (2000), 205-217). From this alignment, a conserved region around the T405 position of the Hypocrea atroviridis Ferulic acid decarboxylase 1 has been derived (K401-G413); (FIG. 2).

This block of aligned sequences was used to derive a pattern with the PRATT software (Jonassen et al., Protein Science 4(8) (1995), 1587-1595):

K-[APV]-G-x-[APT]-[FIM]-H-R-[IL]-[AILV]-[ILV]-x-G (SEQ ID NO:16) where x represents any amino acid and [XYZ] represents either amino acid X or Y or Z.

This motif was then fed into the ScanProsite webtool (prosite.expasy.org/scanprosite/) to scan the UniProtKB database (Swiss-Prot including splice variants and TrEMBL). A total of 107 different proteins was found, including the original 20 from which the motif was derived (Table 5).

Among these 107 proteins, 3 are annotated as 3-octaprenyl-4-hydroxybenzoate carboxylyase, one as Phenolic acid decarboxylase, one as UbiD-domain-containing protein, 3 as Uncharacterized protein and 99 as Ferulic acid decarboxylase 1. Considering that these annotations represent the decarboxylation of aromatic acids, it is assumed that this motif is representative for the UbiD family.

Moreover, among these 107 proteins, 105 belong to the Dikarya sub-kingdom while 19 of these belong to the Filobasidiella/Cryptococcus neoformans species complex of the Agaricomycotina subphylum, 85 to the Pezizomycotina subphylum, one to the Saccharomycotina subphylum and two to the Phytophthora genus of the Peronosporales order.

Therefore, it is assumed that this motif is not only representative for the UbiD family of the Pezizomycotina subphylum from which it was derived, but also for the UbiD family of different fungi and fungus-like eukaryotic microorganisms.

TABLE 4 List of 19 proteins homologues to Hypocrea atroviridis Ferulic acid decarboxylase 1 (G9NLP8) presenting a 3-methylcrotonic acid decarboxylase activity Entry (UniProt) Entry name Protein names Gene names Organism Length A0A094IED9 A0A094IED9_9PEZI Ferulic acid decarboxylase 1 FDC1 V502_01403 Pseudogymnoascus sp. 589 (EC 4.1.1.102) VKM F-4520 (FW-2644) (Phenacrylate decarboxylase) W9WWR1 W9WWR1_9EURO Ferulic acid decarboxylase 1 FDC1 A1O5_04852 Cladophialophora psammophila 503 (EC 4.1.1.102) CBS 110553 (Phenacrylate decarboxylase) A0A0D2IKD5 A0A0D2IKD5_XYLBA Ferulic acid decarboxylase 1 FDC1 Z519_02676 Cladophialophora bantiana 503 (EC 4.1.1.102) CBS 173.52 (Phenacrylate decarboxylase) A0A0D2AQI6 A0A0D2AQI6_9EURO Ferulic acid decarboxylase 1 FDC1 PV07_07106 Cladophialophora immunda 505 (EC 4.1.1.102) (Phenacrylate decarboxylase) A0A0D2DPQ1 A0A0D2DPQ1_9EURO Ferulic acid decarboxylase 1 FDC1 PV04_09173 Capronia semiimmersa 499 (EC 4.1.1.102) (Phenacrylate decarboxylase) W9YNA8 W9YNA8_9EURO Ferulic acid decarboxylase 1 FDC1 A1O1_03830 Capronia coronata CBS 617.96 498 (EC 4.1.1.102) (Phenacrylate decarboxylase) M7THT1 M7THT1_BOTF1 Ferulic acid decarboxylase 1 FDC1 BcDW1_8299 Botryotinia fuckeliana 513 (EC 4.1.1.102) (strain BcDW1) (Phenacrylate decarboxylase) (Noble rot fungus) (Botrytis cinerea) M3DF95 M3DF95_SPHMS Ferulic acid decarboxylase 1 FDC1 Sphaerulina musiva 508 (EC 4.1.1.102) SEPMUDRAFT_154815 (strain SO2202) (Phenacrylate decarboxylase) (Poplar stem canker fungus) (Septoria musiva) FOXL98 FOXL98_GROCL Ferulic acid decarboxylase 1 FDC1 CMQ_6352 Grosmannia clavigera 500 (EC 4.1.1.102) (strain kw1407/UAMH 11150) (Phenacrylate decarboxylase) (Blue stain fungus) (Graphiocladiella clavigera) W9LTH3 W9LTH3_FUSOX Ferulic acid decarboxylase 1 FDC1 FOWG_11397 Fusarium oxysporum f. sp. 503 (EC 4.1.1.102) lycopersici MN25 (Phenacrylate decarboxylase) A2QHE5 FDC1_ASPNC Ferulic acid decarboxylase 1 fdc1 An03g06590 Aspergillus niger 500 (EC 4.1.1.102) (strain CBS 513.88/FGSC A1513) (Phenacrylate decarboxylase) A0A0G4P429 A0A0G4P429_PENCA Ferulic acid decarboxylase 1 FDC1 Penicillium camemberti FM 013 500 (EC 4.1.1.102) PCAMFM013_S005g000265 (Phenacrylate decarboxylase) W6QKP7 W6QKP7_PENRF Ferulic acid decarboxylase 1 FDC1 Penicillium roqueforti 498 (EC 4.1.1.102) PROQFM164_S05g000853 (strain FM164) (Phenacrylate decarboxylase) A1DCG7 A1DCG7_NEOFI Ferulic acid decarboxylase 1 FDC1 NFIA_026010 Neosartorya fischeri 505 (EC 4.1.1.102) (strain ATCC 1020/DSM 3700/ (Phenacrylate decarboxylase) FGSC A1164/NRRL 181) (Aspergillus fischerianus) A0A0F0IHE5 A0A0FOIHE5_ASPPU Ferulic acid decarboxylase 1 FDC1 P875_00128011 Aspergillus parasiticus 503 (EC 4.1.1.102) (strain ATCC 56775/NRRL (Phenacrylate decarboxylase) 5862/SRRC 143/SU-1) G9MUK3 G9MUK3_HYPVG Ferulic acid decarboxylase 1 FDC1 TRIVIDRAFT_53354 Hypocrea virens 507 (EC 4.1.1.102) (strain Gv29-8/FGSC 10586) (Phenacrylate decarboxylase) (Gliocladium virens) (Trichoderma virens) G9NTM9 G9NTM9_HYPAI Ferulic acid decarboxylase 1 FDC1 Hypocrea atroviridis 510 (EC 4.1.1.102) TRIATDRAFT_299540 (strain ATCC 20476/IMI 206040) (Phenacrylate decarboxylase) (Gliocladium virens) (Trichoderma virens) G9NLP8 G9NLP8_HYPAI Ferulic acid decarboxylase 1 FDC1 Hypocrea atroviridis 512 (EC 4.1.1.102) TRIATDRAFT_53567 (strain ATCC 20476/IMI 206040) (Phenacrylate decarboxylase) (Trichoderma atroviride) G9MXT8 G9MXT8_HYPVG Ferulic acid decarboxylase 1 FDC1 TRIVIDRAFT_69398 Hypocrea virens 511 (EC 4.1.1.102) (strain Gv29-8/FGSC 10586) (Phenacrylate decarboxylase) (Gliocladium virens) (Trichoderma virens) A0A0G0A274 A0A0G0A274_TRIHA Ferulic acid decarboxylase 1 FDC1 THAR02_01458 Trichoderma harzianum 511 (EC 4.1.1.102) (Hypocrea lixii) (Phenacrylate decarboxylase)

TABLE 5 List of the 107 proteins found in the UniProtKB database through ScanProsite, with the K-[APV]-G-x-[APT]-[FIM]-H-R-[IL]-[AILV]-[ILV]-x-G (SEQ ID NO: 16) motif. Entry (UniProt) Entry name Protein names Gene names Organism Length A0A0B4FU01 A0A0B4FU01_9HYPO 3-octaprenyl-4-hydroxybenzoate MBR_10525 Metarhizium brunneum ARSEF 3297 500 carboxylyase (Fragment) A0A0B4ENF4 A0A0B4ENF4_METAN 3-octaprenyl-4-hydroxybenzoate MAN_07756 Metarhizium anisopliae ARSEF 549 500 carboxylyase (Fragment) A0A0B8N4Y5 A0A0B8N4Y5_9EURO 3-octaprenyl-4-hydroxybenzoate TCE0_047r17842 Talaromyces cellulolyticus 130 carboxylyase A2QHE5 FDC1_ASPNC Ferulic acid decarboxylase 1 (EC 4.1.1.102) fdc1 AnO3g06590 Aspergillus niger (strain CBS 513.88/FGSC 500 (Phenacrylate decarboxylase) A1513) A0A0A2J5F4 A0A0A2J5F4_PENEN Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 PEX1_019400 Penicillium expansum (Blue mold rot fungus) 500 (Phenacrylate decarboxylase) PEX2_105470 PEXP_077520 A0A0D2YAR9 A0A0D2YAR9_FUSO4 Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FOXG_13395 Fusarium oxysporum f. sp. lycopersici (strain 4287/ 503 (Phenacrylate decarboxylase) CBS 123668/FGSC 9935/NRRL 34936) (Fusarium vascular wilt of tomato) A0A0JODBQ6 A0A0JODBQ6_GIBFU Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 LW94_13187 Y057_969 Gibberella fujikuroi (Bakanae and foot rot disease 503 (Phenacrylate decarboxylase) fungus) (Fusarium fujikuroi) R1EM06 R1EM06_BOTPV Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 UCRNP2_4413 Botryosphaeria parva (strain UCR-NP2) (Grapevine 495 (Phenacrylate decarboxylase) canker fungus) (Neofusicoccum parvum) A0A0G4P429 A0A0G4P429_PENCA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 Penicillium camemberti FM 013 500 (Phenacrylate decarboxylase) PCAMFM013_S005g000265 A0A014P6U4 A0A014P6U4_9HYPO Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 X797_008675 Metarhizium robertsii 508 (Phenacrylate decarboxylase) K9FXIO K9FXI0_PEND1 Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 PDIP_44190 Penicillium digitatum (strain Pd1/CECT 20795) 499 (Phenacrylate decarboxylase) (Green mold) I8A854 18A854_ASPO3 Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 Ao3042_02507 Aspergillus oryzae (strain 3.042) (Yellow koji mold) 503 (Phenacrylate decarboxylase) F9FQB3 F9FQB3_FUSOF Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FOXB_08593 Fusarium oxysporum (strain Fo5176) (Fusarium 506 (Phenacrylate decarboxylase) vascular wilt) A0A0B7K683 A0A0B7K683_BIOOC Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 BN869_000007130_1 Bionectria ochroleuca (Gliocladium roseum) 496 (Phenacrylate decarboxylase) A0A0F9X6G5 A0A0F9X6G5_TRIHA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 THAR02_07744 Trichoderma harzianum (Hypocrea lixii) 495 (Phenacrylate decarboxylase) A0A064B9K3 A0A064B9K3_ASPOZ Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 A01008_09897 Aspergillus oryzae 100-8 503 (Phenacrylate decarboxylase) A0A0G0A274 A0A0G0A274_TRIHA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 THAR02_01458 Trichoderma harzianum (Hypocrea lixii) 511 (Phenacrylate decarboxylase) A0A0D9QCX6 A0A0D9QCX6_METAN Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 H633G_00051 Metarhizium anisopliae BRIP 53284 500 (Phenacrylate decarboxylase) H1VUR4 H1VUR4_COLHI Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 CH063_03208 Colletotrichum higginsianum (strain IMI 349063) 506 (Phenacrylate decarboxylase) (Crucifer anthracnose fungus) E6R9Z1 E6R9Z1_CRYGW Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 CGB_G5620W Cryptococcus gattii serotype B (strain WM276/ 435 (Phenacrylate decarboxylase) ATCC MYA-4071) (Filobasidiella gattii) (Cryptococcus bacillisporus) A0A0D0U0MO A0A0D0U0MO_CRYGA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 1313_01913 Cryptococcus gattii Ram5 501 (Phenacrylate decarboxylase) G9MUK3 G9MUK3_HYPVG Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 TRIVIDRAFT_53354 Hypocrea virens (strain Gv29-8/FGSC 10586) 507 (Phenacrylate decarboxylase) (Gliocladium virens) (Trichoderma virens) G9MXT8 G9MXT8_HYPVG Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 TRIVIDRAFT_69398 Hypocrea virens (strain Gv29-8/FGSC 10586) 511 (Phenacrylate decarboxylase) (Gliocladium virens) (Trichoderma virens) A0A0D0T0X7 A0A0D0T0X7_CRYGA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 1309_02848 Cryptococcus gattii LA55 501 (Phenacrylate decarboxylase) W6QKP7 W6QKP7_PENRF Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 Penicillium roqueforti (strain FM164) 498 (Phenacrylate decarboxylase) PROQFM164_S05g000853 A0A060T4A6 A0A060T4A6_BLAAD Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 Blastobotrys adeninivorans (Yeast) (Arxula 497 (Phenacrylate decarboxylase) GNLVRS02_ARAD1A15180g adeninivorans) W9LTH3 W9LTH3_FUSOX Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FOWG_11397 Fusarium oxysporum f. sp. lycopersici MN25 503 (Phenacrylate decarboxylase) W9LC23 W9LC23_FUSOX Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FOWG_16734 Fusarium oxysporum f. sp. lycopersici MN25 503 (Phenacrylate decarboxylase) W3XQA0 W3XQA0_9PEZI Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 PFICI_01973 Pestalotiopsis fici W106-1 501 (Phenacrylate decarboxylase) A0A0FOIHE5 A0A0FOIHE5_ASPPU Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 P875_00128011 Aspergillus parasiticus (strain ATCC 56775/NRRL 503 (Phenacrylate decarboxylase) 5862/SRRC 143 / SU-1) A0A0D2JJA4 A0A0D2JJA4_CRYGA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 1305_01613 Cryptococcus gattii E566 435 (Phenacrylate decarboxylase) A0A0D0Y3D9 A0A0D0Y3D9_CRYGA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 1306_05467 Cryptococcus gattii EJB2 435 (Phenacrylate decarboxylase) W9WWR1 W9WWR1_9EURO Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 A105_04852 Cladophialophora psammophila CBS 110553 503 (Phenacrylate decarboxylase) A0A0D2DPQ1 A0A0D2DPQ1_9EURO Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 PV04_09173 Capronia semiimmersa 499 (Phenacrylate decarboxylase) W9ZFW9 W9ZFW9_FUSOX Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FOMG_16250 Fusarium oxysporum f. sp. melonis 26406 503 (Phenacrylate decarboxylase) X0AT48 X0AT48_FUSOX Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FOMG_09469 Fusarium oxysporum f. sp. melonis 26406 503 (Phenacrylate decarboxylase) G7XVA2 G7XVA2_ASPKW Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 AKAW_08975 Aspergillus kawachii (strain NBRC 4308) (White 500 (Phenacrylate decarboxylase) koji mold) (Aspergillus awamori var. kawachi) N4TMS4 N4TMS4_FUSC1 Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FOC1_g10005647 Fusarium oxysporum f. sp. cubense (strain race 1) 503 (Phenacrylate decarboxylase) (Panama disease fungus) G3Y7U5 G3Y7U5_ASPNA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 ASPNIDRAFT_44615 Aspergillus niger (strain ATCC 1015/CBS 113.46/ 500 (Phenacrylate decarboxylase) FGSC A1144/LSHB Ac4/NCTC 3858a/NRRL 328/USDA 3528.7) A0A0D0XAE5 A0A0D0XAE5_CRYGA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 1314_01406 Cryptococcus gattii CA1873 435 (Phenacrylate decarboxylase) A0A0JOBVX6 A0A0JOBVX6_GIBFU Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 LW93_9666 Gibberella fujikuroi (Bakanae and foot rot disease 503 (Phenacrylate decarboxylase) fungus) (Fusarium fujikuroi) W9YNA8 W9YNA8_9EURO Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 A101_03830 Capronia coronata CBS 617.96 498 (Phenacrylate decarboxylase) M7THT1 M7THT1_BOTF1 Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 BcDW1_8299 Botryotinia fuckeliana (strain BcDW1) (Noble rot 513 (Phenacrylate decarboxylase) fungus) (Botrytis cinerea) X0MQQ9 X0MQQ9_FUSOX Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FOTG_09622 Fusarium oxysporum f. sp. vasinfectum 25433 503 (Phenacrylate decarboxylase) X0FER4 X0FLR4_FUSOX Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FOCG_08056 Fusarium oxysporum f. sp. radicis-lycopersici 26381 503 (Phenacrylate decarboxylase) X0BC97 X0BC97_FUSOX Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FOQG_15695 Fusarium oxysporum f. sp. raphani 54005 503 (Phenacrylate decarboxylase) X0HNC2 X0HNC2_FUSOX Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FOPG_11348 Fusarium oxysporum f. sp. conglutinans race 2 503 (Phenacrylate decarboxylase) 54008 X0J4B9 X0J4B9_FUSOX Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FOIG_11524 Fusarium oxysporum f. sp. cubense tropical race 4 503 (Phenacrylate decarboxylase) 54006 A0A0D9NTQ8 A0A0D9NTQ8_METAN Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 H634G_07518 Metarhizium anisopliae BRIP 53293 500 (Phenacrylate decarboxylase) A0A0D0YJS6 A0A0D0YJS6_CRYGA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 L804_03800 Cryptococcus gattii 2001/935-1 501 (Phenacrylate decarboxylase) E9ENN2 E9ENN2_METRA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 MAA_01631 Metarhizium robertsii (strain ARSEF 23/ATCC 500 (Phenacrylate decarboxylase) MYA-3075) (Metarhizium anisopliae (strain ARSEF 23)) G2XWX0 G2XWX0_BOTF4 Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 BofuT4_P051470.1 Botryotinia fuckeliana (strain T4) (Noble rot fungus) 513 (Phenacrylate decarboxylase) (Botrytis cinerea) A0A0F7U117 A0A0F7U117_9EURO Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 PMG11_09885 Penicillium brasilianum 503 (Phenacrylate decarboxylase) A0A010QFR6 A0A010QFR6_9PEZI Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 CFI001_10372 Colletotrichum fioriniae PJ7 503 (Phenacrylate decarboxylase) K9FG02 K9FG02_PEND2 Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 PDIG_73710 Penicillium digitatum (strain PHI26/CECT 20796) 499 (Phenacrylate decarboxylase) (Green mold) A0A0G2EQF2 A0A0G2EQF2_9EURO Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 UCRPC4_g02163 Phaeomoniella chlamydospora 498 (Phenacrylate decarboxylase) A0A0D2AQI6 A0A0D2AQI6_9EURO Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 PV07_07106 Cladophialophora immunda 505 (Phenacrylate decarboxylase) S0E299 S0E299_GIBF5 Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC FFUJ_14803 Gibberella fujikuroi (strain CBS 195.34/IMI 58289/ 503 (Phenacrylate decarboxylase) NRRL A-6831) (Bakanae and foot rot disease fungus) (Fusarium fujikuroi) B8NJ67 B8NJ67_ASPFN Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 AFLA_064990 Aspergillus flavus (strain ATCC 200026/FGSC 503 (Phenacrylate decarboxylase) A1120/NRRL 3357/JCM 12722/SRRC 167) K2RUE8 K2RUE8_MACPH Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 MPH_04225 Macrophomina phaseolina (strain M56) (Charcoal 494 (Phenacrylate decarboxylase) rot fungus) A1DCG7 A1DCG7_NEOFI Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 NFIA_026010 Neosartorya fischeri (strain ATCC 1020/DSM 3700/ 505 (Phenacrylate decarboxylase) FGSC_A1164/NRRL 181) (Aspergillus fischerianus) A0A0D2IKD5 A0A0D2IKD5_XYLBA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 Z519_02676 Cladophialophora bantiana CBS 173.52 503 (Phenacrylate decarboxylase) A0A0D0VRV5 A0A0D0VRV5_CRYGA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 1310_03088 Cryptococcus gattii CA1014 501 (Phenacrylate decarboxylase) A0A017SAW2 A0A017SAW2_9EURO Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 EURHEDRAFT_503163 Aspergillus ruber CBS 135680 500 (Phenacrylate decarboxylase) W9JNI1 W9JNI1_FUSOX Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FOZG_15347 Fusarium oxysporum Fo47 503 (Phenacrylate decarboxylase) M3DF95 M3DF95_SPHMS Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 SEPMUDRAFT_154815 Sphaerulina musiva (strain S02202) (poplar stem 508 (Phenacrylate decarboxylase) canker fungus) (Septoria musiva) W9JP63 W9JP63_FUSOX Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FOZG_14585 Fusarium oxysporum Fo47 503 (Phenacrylate decarboxylase) A0A0941ED9 A0A094IED9_9PEZI Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 V502_01403 Pseudogymnoascus sp. VKM F-4520 (FW-2644) 589 (Phenacrylate decarboxylase) B6HRC8 B6HRC8_PENRW Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 Pc22g03390 Penicillium rubens (strain ATCC 28089/DSM 1075/ 500 (Phenacrylate decarboxylase) PCH_Pc22g03390 NRRL 1951/Wisconsin 54-1255) (Penicillium chrysogenum) W7MPM7 W7MPM7_GIBM7 Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FVEG_11829 Gibberella moniliformis (strain M3125/FGSC 503 (Phenacrylate decarboxylase) 7600) (Maize ear and stalk rot fungus) (Fusarium verticillioides) G9NLP8 G9NLP8_HYPAI Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 TRIATDRAFT_53567 Hypocrea atroviridis (strain ATCC 20 476/IMI 512 (Phenacrylate decarboxylase) 206040) (Trichoderma atroviride) G9NTM9 G9NTM9_HYPAI Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 TRIATDRAFT_299540 Hypocrea atroviridis (strain ATCC 20 476/IMI 510 (Phenacrylate decarboxylase) 206040) (Trichoderma atroviride) G9P0U1 G9P0U1_HYPAI Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 TRIATDRAFT_35115 Hypocrea atroviridis (strain ATCC 20476/IMI 507 (Phenacrylate decarboxylase) 206040) (Trichoderma atroviride) T0K816 T0K816_COLGC Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 CGL0_11546 Colletotrichum gloeosporioides (strain Cg-14) 506 (Phenacrylate decarboxylase) (Anthracnose fungus) (Glomerella cingulata) N1RLH9 N1RLH9_FUSC4 Ferulic acid decarboxylase 1 FOC4_g10005518 Fusarium oxysporum f. sp. cubense (strain race 4) 167 (Panama disease fungus) N1RYW4 N1RYW4_FUSC4 Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FOC4_g10005520 Fusarium oxysporum f. sp. cubense (strain race 4) 503 (Phenacrylate decarboxylase) (Panama disease fungus) A0A0D0VVI5 A0A0D0VVI5_CRYGA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 1312_01590 Cryptococcus gattii CA1280 435 (Phenacrylate decarboxylase) FOXL98 FOXL98_GROCL Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 CMQ_6352 Grosmannia clavigera (strain kw1407/UAMH 500 (Phenacrylate decarboxylase) 11150) (Blue stain fungus) (Graphiocladiella clavigera) FOXKQ3 FOXKQ3_GROCL Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 CMQ_8261 Grosmannia clavigera (strain kw1407/UAMH 482 (Phenacrylate decarboxylase) 11150) (Blue stain fungus) (Graphiocladiella clavigera) A0A0D0U7G3 A0A0D0U7G3_CRYGA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 1315_02568 Cryptococcus gattii Ru294 435 (Phenacrylate decarboxylase) A0A0D0X8C8 A0A0D0X8C8_CRYGA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 1304_04581 Cryptococcus gattii CBS 10090 501 (Phenacrylate decarboxylase) A0A0D0X028 A0A0D0X028_CRYGA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 1308_01018 Cryptococcus gattii IND107 435 (Phenacrylate decarboxylase) W9HNN8 W9HNN8_FUSOX Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FOYG_14553 Fusarium oxysporum FOSC 3-a 503 (Phenacrylate decarboxylase) A0A0D9M9B3 A0A0D9M9B3_9EURO Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 U727_00431480381 Penicillium solitum 500 (Phenacrylate decarboxylase) W9HU82 W9HU82_FUSOX Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FOYG_10553 Fusarium oxysporum FOSC 3-a 503 (Phenacrylate decarboxylase) C7ZIA7 C7ZIA7_NECH7 Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 NECHADRAFT_52948 Nectria haematococca (strain 77-13-4/ATCC 474 (Phenacrylate decarboxylase) MYA-4622/FGSC 9596/MPVI) (Fusarium solani subsp. pisi) C7ZC09 C7ZC09_NECH7 Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 NECHADRAFT_73218 Nectria haematococca (strain 77-13-4/ATCC 489 (Phenacrylate decarboxylase) MYA-4622/FGSC 9596/MPVI) (Fusarium solani subsp. pisi) A0A0D0TEU3 A0A0D0ILU3_CRYGA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 1352_04272 Cryptococcus gattii MMRL2647 501 (Phenacrylate decarboxylase) A0A095C6V3 A0A095C6V3_CRYGA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 CNBG_2095 Cryptococcus gattii R265 501 (Phenacrylate decarboxylase) L2G6I9 L2G6I9_COLGN Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 CGGC5_6473 Colletotrichum gloeosporioides (strain Nara gc5) 506 (Phenacrylate decarboxylase) (Anthracnose fungus) (Glomerella cingulata) W9P9H8 W9P9H8_FUSOX Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FOVG_12484 Fusarium oxysporum f. sp. pisi HDV247 503 (Phenacrylate decarboxylase) W9NGN5 W9NGN5_FUSOX Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 FOVG_19288 Fusarium oxysporum f. sp. pisi HDV247 517 (Phenacrylate decarboxylase) A0A086NHZ2 A0A086NHZ2_METAN Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 MANI_006214 Metarhizium anisopliae (Entomophthora anisopliae) 500 (Phenacrylate decarboxylase) A0A0D2LEN2 A0A0D2LFN2_CRYGA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 1307_00579 Cryptococcus gattii 99/473 501 (Phenacrylate decarboxylase) T2BN22 T2BN22_CRYNH Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 CNAG_03519 Cryptococcus neoformans var. grubii serotype A 405 (Phenacrylate decarboxylase) (strain H99/ATCC 208821/CBS 10515/FGSC 9487) (Filobasidiella neoformans var. grubii) T2BN40 T2BN40_CRYNH Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 CNAG_03519 Cryptococcus neoformans var. grubii serotype A 447 (Phenacrylate decarboxylase) (strain H99/ATCC 208821/CBS 10515/FGSC 9487) (Filobasidiella neoformans var. grubii) J9VVU7 J9VVU7_CRYNH Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 CNAG_03519 Cryptococcus neoformans var. grubii serotype A 532 (Phenacrylate decarboxylase) (strain H99/ATCC 208821/CBS 10515/FGSC 9487) (Filobasidiella neoformans var. grubii) S3D5R7 S3D5R7_OPHP1 Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 F503_04312 Ophiostoma piceae (strain UAMH 11346) (Sap stain 500 (Phenacrylate decarboxylase) fungus) Q2UP67 Q2UP67_ASPOR Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 AO090001000093 Aspergillus oryzae (strain ATCC 42149/RIB 40) 503 (Phenacrylate decarboxylase) (Yellow koji mold) A0A0D2WZP7 A0A0D2WZP7CRYGA Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 I311_00741 Cryptococcus gattii NT-10 435 (Phenacrylate decarboxylase) G4YRJ8 G4YRJ8_PHYSP Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 PHYSODRAFT_258069 Phytophthora sojae (strain P6497) (Soybean stem 468 (Phenacrylate decarboxylase) and root rot agent) (Phytophthora megasperma f. sp. glycines) H3H3G9 H3H3G9_PHYRM Ferulic acid decarboxylase 1 (EC 4.1.1.102) FDC1 Phytophthora ramorum (Sudden oak death agent) 545 (Phenacrylate decarboxylase) A0A0AOWBD5 A0A0AOWBD5_9PEZI Phenolic acid decarboxylase (Fragment) padB3 Phomopsis liquidambaris 180 Q8J0Q7 Q8J0Q7_NECHA Putative uncharacterized protein (Fragment) Nectria haematococca 489 A0A074VCH2 A0A074VCH2_9PEZI UbiD-domain-containing protein M437DRAFT_79329 Aureobasidium melanogenum CBS 110374 375 A0A0D2BJ27 A0A0D2BJ27_9EURO Uncharacterized protein PV08_02858 Exophiala spinifera 282 W9NFR4 W9NFR4_FUSOX Uncharacterized protein FOVG_17226 Fusarium oxysporum f. sp. pisi HDV247 177

Example 7: Selection of the Enzyme Mutants with Increased Activity by an In Vivo Assay in 96-Well Microplates Based on Exogenous 3MC

1.) In Vivo Assay in 96-Well Microplates Based on Exogenous 3MC (In Vivo 3)

This assay (IN VIVO 3) is based on the use of a bacterial strain (BL21(DE3), Novagen) transformed with the above expression vector that contains the coding sequences and lead to the production of the last two enzymes involved in the metabolic pathway converting 3-methylcrotonic acid into isobutene, i.e., the Hypocrea atroviridis Ferulic acid decarboxylase 1 variants and the Flavin prenyltransferase UbiX protein from E. coli. This transformed strain was first plated out onto LB-agar plates supplemented with the appropriate antibiotic. Cells were grown overnight at 30° C. until individual colonies reach the desired size. Single colonies were then picked and individually transferred into 500 μL of liquid LB medium supplemented with the appropriate antibiotic. Cell growth was carried out with shaking for 20 hours at 30° C. or 32° C. The LB cultures were used to inoculate 1 mL in 96 deepwell microplates of auto-induction medium (Studier F W, Prat. Exp. Pur. 41, (2005), 207-234) supplemented with the appropriate antibiotic and grown in a shaking incubator set at 700 rpm and 85% humidity for 24 h at 30° C., 32° C. or 36° C. in order to produce the two types of recombinant enzymes. The cell pellet containing these two overexpressed recombinant enzymes was then resuspended in 400 μL of minimum medium (MS pH 7.5, Phosphate 100 mM, Glucose 10 g·L⁻¹, MgSO₄ 1 mM) supplemented with 0.3 or 1 mM 3MC and incubated for a further 1 or 2 hours in a shaking incubator at 34° C. or 36° C., 700 rpm. During this step, the Hypocrea atroviridis Ferulic acid decarboxylase 1 variants catalyse the decarboxylation of 3-methylcrotonic acid into isobutene. After 5 min inactivation at 80° C., the isobutene produced was quantified by gas chromatography as followed. 100 μL of headspace gases from each enzymatic reaction are injected in a Brucker GC-450 system equipped with a Flame Ionization Detector (FID). Compounds present in samples were separated by chromatography using a RTX-1 column at 100° C. with a 1 mL·min⁻¹ constant flow of nitrogen as carrier gas. Upon injection, peak areas of isobutene were calculated.

2.) In Vivo Assay in 96-Well Microplates Based on Exogenous 3MC (In Vivo 4)

This assay is based on the use of a bacterial strain (BL21(DE3), Novagen) transformed with an expression vector pET25b (Novagen) that contains the coding sequences and lead to the production of the last enzyme involved in the metabolic pathway converting 3MC to isobutene; namely the Hypocrea atroviridis Ferulic acid decarboxylase 1 variants. In another variant, it can be co-transformed with an expression vector pRSFDuet (Novagen) that contains the coding sequences and lead to the production of the Flavin prenyltransferase UbiX protein from E. coli. This strain is first plated out onto LB-agar plates supplemented with the appropriate antibiotic. Cells were grown overnight at 32° C. until individual colonies reach the desired size. Single colonies were then picked and individually transferred into 500 μL of liquid LB medium supplemented with the appropriate antibiotic. Cell growth is carried out with shaking for 20 hours at 32° C. The LB cultures were used to inoculate 1 mL in 96 deepwell microplates of auto-induction medium (Studier F W, Prat. Exp. Pur. 41, (2005), 207-234) supplemented with the appropriate antibiotic and grown in a shaking incubator set at 700 rpm and 85% humidity for 24 h at 32° C. in order to produce the two types of recombinant enzymes. The cell pellet containing these overexpressed recombinant enzyme is then resuspended in 400 μL of minimum medium (MS pH 7.5, Phosphate 100 mM, Glucose 10 g·L−1, MgSO4 1 mM) supplemented with 1 mM or 10 mM 3MC and incubated for a further 30 minutes or 4 hours in a shaking incubator at 34° C. or 36° C., 700 rpm. During this step, the Hypocrea atroviridis Ferulic acid decarboxylase 1 variants catalyse the decarboxylation of 3MC into IBN. After 5 min inactivation at 80° C., the IBN produced is quantified by gas chromatography as followed. 100 μL of headspace gases from each enzymatic reaction are injected in a Brucker GC-450 system equipped with a Flame Ionization Detector (FID). Compounds present in samples were separated by chromatography using a RTX-1 columns at 100° C. with a 1 mL·min-1 constant flow of nitrogen as carrier gas. Upon injection, peak areas of isobutene were calculated.

Example 8: Identification of Variants with Multiple Mutations of Hypocrea atroviridis Ferulic Acid Decarboxylase 1 with Further Increased Activity for the Reaction of Conversion of 3-Methylcrotonic Acid into Isobutene

Libraries of mutants have been created by mutagenesis, using the Hypocrea atroviridis Ferulic acid decarboxylase 1 (SEQ ID NO: 1) as template. Several variants with an enhanced activity in converting 3-methylcrotonic acid into isobutene have been identified through in vivo screening assays as described above, using either the IN VIVO 2, the IN VIVO 3 or the IN VIVO 4 assay.

The list showing improving variants is presented in the following Table 6. The increase in activity is described relative to the wild-type enzyme (with “+” representing a low increase in activity and “+++++” representing a high increase in activity).

The mutations involved in the variants of the Hypocrea atroviridis Ferulic acid decarboxylase 1 with increased activity are summarized in Table 7.

TABLE 6 List of Hypocrea atroviridis Ferulic acid decarboxylase 1 variants with multiple mutations presenting an increase in isobutene production from 3-methylcrotonic acid. Activity relative Mutations to WT Assay Q29N-D351N + IN VIVO 2 Q29N-Q448W + IN VIVO 2 T405M-D420L + IN VIVO 2 D351N-T405M + IN VIVO 2 Q29N-T405M + IN VIVO 2 D351R-T405M-V445P-Q448W + IN VIVO 2 D351R-T405M-V445P + IN VIVO 2 T405M-Q448W + IN VIVO 2 D351R-T405M-Q448W + IN VIVO 2 E25N-N31G-T405M + IN VIVO 2 Q29N-T405M-T429A + IN VIVO 2 Q29N-D351R-T405M-T429A-V445P-Q448W + IN VIVO 2 E25N-Q29N-T405M-G435M-V445P + IN VIVO 2 Q29N-T405M-Q448W + IN VIVO 2 E25N-Q29N-N31G-T405M-G435M-V445P + IN VIVO 2 Q29H-N31G-T405M-T429A + IN VIVO 2 E25N-Q29N-N31G-D351R-T405M-V445P + IN VIVO 2 Q29N-D351N-T405M-Q448W + IN VIVO 2 N31G-T405M-V445P + IN VIVO 2 N31G-D351R-T405M-T429A-V445P + IN VIVO 2 E25N-Q29N-N31G-T405M-T429A + IN VIVO 2 Q29N-N31G-D351R-T405M-T429A + IN VIVO 2 N31G-T405M-D420L-T429A-V445P + IN VIVO 2 E25N-Q29H-D351R-T405M-V445P-Q448W + IN VIVO 2 E25N-D351R-T405M-G435M-V445P-Q448W + IN VIVO 2 S86N-T405M-T429A-G435M-V445P-Q448W + IN VIVO 2 E25N-T405M-T429A + IN VIVO 2 E25N-Q29N-N31G-D351R-T405M-T429A + IN VIVO 2 Q29N-D351R-T405M-D414N-T429A-V445P-Q448W + IN VIVO 2 N31G-D351R-T405M-T429A-G435M-V445P + IN VIVO 2 E25N-N31G-T405M-T429A-V445P + IN VIVO 2 E25N-D351R-T405M-T429A-V445P + IN VIVO 2 E25N-T405M-T429A-Q448W + IN VIVO 2 E25N-N31G-T405M-Q448W + IN VIVO 2 E25N-Q29N-T405M-T429A-Q448W + IN VIVO 2 Q29N-N31G-D351R-T405M-T429A-G435M-V445P + IN VIVO 2 N31G-T405M-Q448W + IN VIVO 2 N31G-T405M-D420L-T429A-V445P-Q448W + IN VIVO 2 Q29N-N31G-D351G-T405M-T429A-V445P + IN VIVO 2 Q29N-T405M-T429A-G435M-V445P-Q448W + IN VIVO 2 E25N-N31G-D351R-T405M-T429A-Q448W + IN VIVO 2 Q29N-N31G-T405M-T429A-V445P + IN VIVO 2 E25N-N31G-D351R-T405M-G435M-V445P-Q448W + IN VIVO 2 N31G-D351R-T405M-T429A-Q448W + IN VIVO 2 D12N-Q29N-N31G-T405M-T429A-V445P-Q448W + IN VIVO 2 Q29N-N31G-T405M-T429A-Q448W + IN VIVO 2 E25N-T405M-T429A-V445P-Q448W + IN VIVO 2 E25N-N31G-T405M-T429A-G435M-V445P-Q448W + IN VIVO 2 E25N-Q29N-N31G-T405M-T429A-V445P-Q448W + IN VIVO 2 E25N-N31G-T405M-T429A-V445P-Q448W + IN VIVO 2 E25N-N31G-D351R-T405M-T429A-V445P-Q448W + IN VIVO 2 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-P120K ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-H303S ++ IN VIVO 3 E25N-N31G-D351G-T405M-T429A-V445P-Q448W ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-N264D ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-R392L ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-L221C ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-G305A ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S85A ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-Q214V ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-F404Y ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-P402V ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-T228L ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-I119T ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-A10L ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S484A ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-Q214E ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-Q214A ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-A211E ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-N501M ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-Q214F ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-T228V ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-D57N ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-D512E ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S484G ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-A149V ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S8N ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-A10H ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-N117A ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-V132C ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-C175G ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-C175K ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-C175S ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S187T ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-A193T ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-I197M ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-A222C ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-T228A ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-V247A ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-A342G ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-T399N ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-F440V ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-A460P ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-K488A ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-N501G ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S502N ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-L506Y ++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S3C-S861-Q162P-T384Y-R392A +++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-Q162N-T228L-R392A +++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-Q162N-R392A +++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-Q162N-T228L-R392A-I461V-S494R +++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S85A-Q162N-Q214H-T228L-G338P-I461V +++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-C175G-T228L-R392A-T399R-S494R +++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S85A-Q162N-C175G-T228L-G338P-T399R-S494R +++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S85A-Q162N-T228L-G338P-S494R +++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S85A-Q162N-C175G-T228L-G338P-T399R-I461V-S494R +++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S85A-Q162N-T228L-G338P-R392A-I461M-S494R +++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-Q162N-T228L-G338P-R392A-I461V +++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-Q162N-C175G-T228L-G338P-R392A-I461V-S494R +++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S85A-C175G-T228L-G338P-R392A-T399R-I461V-S494R +++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S85A-Q162N-C175G-T228L-G338P-R392A-I461V-S494R +++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-T228L-G338P-R392A-I461V-S494R +++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-G305A-P402V +++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-G305A-F404Y +++ IN VIVO 3 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-G305A-P402V-F404Y +++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P15T ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-D30G ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-D30H ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-D30R ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-N65W ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-N65L ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-K70L ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G72R ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P80L ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P87V ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P87I ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-R90L ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-T103L ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-S105W ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-S105F ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-D108R ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-D108W ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-I126P ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175P-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-W176F ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G213L ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G213P ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G305D ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P306R ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P306S ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-C326P ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338S-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-A341I ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351V-R392A-T405M-T429A-V445P-Q448W-I461V-S494R ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P402H ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-I406Q ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-1461N-S494R ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-T103I-D111C ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-E14D-P87A ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-W176F-L511I ++++ IN VIVO 4 E25W-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-A352L ++++ IN VIVO 4 E25S-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-A352G ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-T278I-C326P ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-A341I-G386N-D395C ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351A-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-C349S ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-K7R-W176F ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-R84C-K493R ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P87W-K159C ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P87C-K488N-Q496A ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-E89F-Q496F ++++ IN VIVO 4 E25N-N31G-G305A-D351R-K377H-P402V-F404Y-T405M-T429A-V445P-Q448W ++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-F404Y ++++ IN VIVO 2 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G305A-K377H-F404Y ++++ IN VIVO 2 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G305A-P306F-F404Y ++++ IN VIVO 2 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-K377H-F404Y ++++ IN VIVO 2 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P306F-F404Y ++++ IN VIVO 2 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P306F-K377H ++++ IN VIVO 2 E25N-N31G-S85A-Q162N-C175G-T228L-G338P-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-P306F-K377H-F404Y ++++ IN VIVO 2 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-D12A ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-D35T ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A60V ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-K70I ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-K70L ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-P87F ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-P87L ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-P87M ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-P87V ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-P87W ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A99P ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-P101I ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-P101L ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-P102L ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-T103L ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-S105L ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-D108R ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-K189I ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A193I ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-E215C ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A244F ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-C326A ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-D375L ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-D443N ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A460F ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-P102L-S484A ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-D108K-Y160F ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-F11Y-D512S ++++ IN VIVO 4 E25N-N31G-D351R-T405M-T429A-V445P-Q448W-S85T-T103M-Q162H-C175W-T228P-G338A-R392A-I461M ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-V445P-Q448W-P87F ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-S3G ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-T4A ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-T5S ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A10F ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A10P ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A10T ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-I67R ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-I67V ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-D71G ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A99N ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A149S ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-Q154K ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A193T ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A193V ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-Q206F ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-Q214R ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-A232V ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-M284L ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-H303P ++++ IN VIVO 4 E25N-N31G-G305A-D351R-P402V-F404Y-T405M-T429A-V445P-Q448W-K462N ++++ IN VIVO 4 E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-S494R-G305A-P402V-F404Y ++++ IN VIVO 2 E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G305A-P402V-F404Y ++++ IN VIVO 2 E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-S494R-L228T-G305A-P402V-F404Y ++++ IN VIVO 2 E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-S494R-G305A-K377H-P402V-F404Y ++++ IN VIVO 2 E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-L228T-G305A-F404Y ++++ IN VIVO 2 E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G305A-K377H-F404Y ++++ IN VIVO 2 E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G305A-F404Y ++++ IN VIVO 2 E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-I461V-S494R-G305A-K377H-P402V-F404Y ++++ IN VIVO 2 E25N-N31G-S85A-Q162N-C175G-T228L-D351R-R392A-T405M-T429A-V445P-Q448W-1461V-S494R-G305A-K377H ++++ IN VIVO 2 E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-S2N +++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-A10K +++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-P13S +++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-A69N +++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-A106T +++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175T-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R +++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175K-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R +++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175Q-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R +++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-E216N +++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-I345L +++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-S454G +++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-S3D-K509L +++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-T4S-P13V +++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-Y6P-D512H +++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405F-T429A-V445P-Q448W-I461V-S494R +++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405F-T429A-V445P-Q448W-I461V-S494R-S454G +++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404W-T405M-T429A-V445P-Q448W-I461V-S494R-F447M +++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448W-I461V-S494R-I337L +++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448F-I461V-S494R-I197M +++++ IN VIVO 3 E25N-N31G-G305A-D351R-K377H-P402V-F404Y-T405M-T429A-V445P-Q448W-S454G +++++ IN VIVO 3 E25N-N31G-G305A-D351R-K377H-P402V-F404Y-T405F-T429A-V445P-Q448W +++++ IN VIVO 3 E25N-N31G-G305A-D351R-K377H-P402V-F404Y-T405F-T429A-V445P-Q448W-S454G +++++ IN VIVO 3 E25N-N31G-S85A-Q162N-C175G-T228L-G305A-D351R-K377H-R392A-P402V-F404Y-T405M-T429A-V445P-Q448F-I461V-S494R +++++ IN VIVO 3

TABLE 7 List of mutations involved in the variants of the Hypocrea atroviridis Ferulic acid decarboxylase 1 with increased activity Wild-Type Sequence Mutant Amino Acid Number Mutation S2A S 2 A S2D S 2 D S2F S 2 F S2K S 2 K S2L S 2 L S2N S 2 N S2Q S 2 Q S2V S 2 V S3A S 3 A S3C S 3 C S3D S 3 D S3E S 3 E S3G S 3 G S3K S 3 K S3P S 3 P S3W S 3 W S3Y S 3 Y T4A T 4 A T4E T 4 E T4L T 4 L T4M T 4 M T4N T 4 N T4S T 4 S T5S T 5 S Y6P Y 6 P K7R K 7 R S8N S 8 N E9H E 9 H E9P E 9 P E9Y E 9 Y A10F A 10 F A10H A 10 H A10K A 10 K A10L A 10 L A10P A 10 P A10T A 10 T F11L F 11 L F11P F 11 P F11Y F 11 Y D12A D 12 A D12N D 12 N D12S D 12 S P13H P 13 H P13I P 13 I P13N P 13 N P13S P 13 S P13V P 13 V P13Y P 13 Y E14D E 14 D P15T P 15 T E25N E 25 N E25S E 25 S E25W E 25 W Q29H Q 29 H Q29N Q 29 N Q29S Q 29 S D30G D 30 G D30H D 30 H D30R D 30 R N31E N 31 E N31G N 31 G L33I L 33 I V34A V 34 A V34I V 34 I D35M D 35 M D35S D 35 S D35T D 35 T V40I V 40 I V40M V 40 M D43R D 43 R D57N D 57 N A60V A 60 V N65L N 65 L N65W N 65 W I67R I 67 R I67V I 67 V A69N A 69 N K70I K 70 I K70L K 70 L D71G D 71 G G72R G 72 R P80L P 80 L R84C R 84 C S85A S 85 A S85T S 85 T S86I S 86 I S86N S 86 N P87A P 87 A P87C P 87 C P87F P 87 F P87I P 87 I P87L P 87 L P87M P 87 M P87V P 87 V P87W P 87 W E89F E 89 F E89S E 89 S R90L R 90 L F91L F 91 L A99N A 99 N A99P A 99 P P101I P 101 I P101L P 101 L P102L P 102 L T103I T 103 I T103L T 103 L T103M T 103 M S105F S 105 F S105L S 105 L S105W S 105 W A106T A 106 T D108K D 108 K D108R D 108 R D108W D 108 W D111C D 111 C L114S L 114 S N117A N 117 A I119T I 119 T P120K P 120 K P120S P 120 S I126P I 126 P V132C V 132 C N141D N 141 D A146S A 146 S A149S A 149 S A149V A 149 V Q154K Q 154 K K159C K 159 C Y160F Y 160 F Q162H Q 162 H Q162N Q 162 N Q162P Q 162 P C175G C 175 G C175K C 175 K C175P C 175 P C175Q C 175 Q C175S C 175 S C175T C 175 T C175W C 175 W W176F W 176 F S187T S 187 T K189I K 189 I A193I A 193 I A193T A 193 T A193V A 193 V L195C L 195 C L195F L 195 F L195I L 195 I L195V L 195 V L195W L 195 W L195Y L 195 Y I197F I 197 F I197M I 197 M Q206F Q 206 F A211E A 211 E G213L G 213 L G213P G 213 P Q214A Q 214 A Q214E Q 214 E Q214F Q 214 F Q214H Q 214 H Q214R Q 214 R Q214T Q 214 T Q214V Q 214 V E215C E 215 C E216N E 216 N L221C L 221 C A222C A 222 C T228A T 228 A T228L T 228 L T228P T 228 P L228T L 228 T T228V T 228 V A232V A 232 V A244F A 244 F V247A V 247 A N264D N 264 D T278I T 278 I M284L M 284 L M284Y M 284 Y A285L A 285 L M293L M 293 L H303P H 303 P H303S H 303 S G305A G 305 A G305D G 305 D P306F P 306 F P306R P 306 R P306S P 306 S C326A C 326 A C326P C 326 P I337L I 337 L I337M I 337 M G338A G 338 A G338P G 338 P G338S G 338 S A341I A 341 I A342G A 342 G I345L I 345 L C349S C 349 S D351A D 351 A D351G D 351 G D351N D 351 N D351R D 351 R D351V D 351 V A352G A 352 G A352L A 352 L D375L D 375 L T376I T 376 I K377H K 377 H A381R A 381 R T384Y T 384 Y G386N G 386 N A388E A 388 E R392A R 392 A R392L R 392 L D395C D 395 C T399N T 399 N T399R T 399 R P402H P 402 H P402V P 402 V F404W F 404 W F404Y F 404 Y T405F T 405 F T405L T 405 L T405M T 405 M T405P T 405 P T405Q T 405 Q I406Q I 406 Q D414N D 414 N D420L D 420 L K422M K 422 M T429A T 429 A T429S T 429 S G435M G 435 M T436N T 436 N V439L V 439 L F440V F 440 V F441Y F 441 Y D442T D 442 T D443N D 443 N V445E V 445 E V445P V 445 P F447M F 447 M F447W F 447 W F447Y F 447 Y Q448F Q 448 F Q448S Q 448 S Q448W Q 448 W L449I L 449 I L449M L 449 M L449V L 449 V S454G S 454 G A460F A 460 F A460P A 460 P I461M I 461 M I461N I 461 N I461V I 461 V K462N K 462 N S484A S 484 A S484G S 484 G K488A K 488 A K488N K 488 N K493R K 493 R S494R S 494 R Q496A Q 496 A Q496F Q 496 F L500A L 500 A N501E N 501 E N501G N 501 G N501K N 501 K N501M N 501 M S502N S 502 N L506I L 506 I L506Y L 506 Y K509L K 509 L L511I L 511 I L511M L 511 M D512E D 512 E D512H D 512 H D512S D 512 S

Example 9: In Vitro Activities of Homologues of the Hypocrea atroviridis Ferulic Acid 1 Decarboxylase at Different Temperatures (Wild-Type and T→M Mutants)

As described in Example 5, the T405M variant of Hypocrea atroviridis Ferulic acid 1 decarboxylase presents a very significant increase in the production of Isobutene from 3-methylcrotonic acid. To assess the general effect of this mutation on different Ferulic acid decarboxylases, we selected 4 homologues of the Hypocrea atroviridis Ferulic acid 1 decarboxylase and made the corresponding T→M mutation (Table 8).

TABLE 8 List of homologues of the Hypocrea alroviridis Ferulic acid decarboxylase 1 and their T−>M mutation Uniprot SEQ Accession ID T−>M Organism Number NO Mutation Hypocrea atroviridis (Ha) G9NLP8 1 T405M Cladophialophora psammophila (Cp) W9WWR1 10 T400M Cladophialophora immunda (Ci) A0A0D2AQI6 11 T400M Sphaerulina musiva (Sm) M3DF95 12 T405M Cladophialophora bantiana (Cb) A0A0D2IKD5 13 T400M

The in vitro assay was performed as described in Example 5 with 10 mM 3-methylcrotonic acid, an incubation time of 120 min and an incubation temperature varying between 30 and 60° C. In all cases, the T→M mutation shows an increase in activity and in the optimal catalytic temperature (FIG. 3).

Example 10: Identification of Variants of Homologues of Hypocrea atroviridis Ferulic Acid Decarboxylase 1 with Increased Activity for the Reaction of Conversion of 3-Methylcrotonic Acid into Isobutene

As was described in Example 9, we showed that the T→M mutation found in position 405 of the Hypocrea atroviridis Ferulic acid 1 decarboxylase increases the activity of 4 different homologues (Table 8 and FIG. 3). We decided to further evolve two of these homologues, namely the Ferulic Acid decarboxylase 1 of Cladophialophora psammophila (Uniprot Accession Number W9WWR1, SEQ ID NO: 10) and of Cladophialophora bantiana (Uniprot Accession Number A0A0D2IKD5, SEQ ID NO: 13).

The assay is based on the use of a bacterial strain (BL21(DE3), Novagen) transformed with the above expression vector that contains the coding sequences as described above, leading to the production of the last two enzymes involved in the metabolic pathway converting 3MC to isobutene; namely the Ferulic acid decarboxylase 1 of Cladophialophora psammophila (Uniprot Accession Number W9WWR1, SEQ ID NO: 10) or the Ferulic acid decarboxylase 1 of Cladophialophora bantiana (Uniprot Accession Number A0A0D2IKD5, SEQ ID NO: 13) variants and the Flavin prenyltransferase UbiX protein from E. coli. This strain is first plated out onto LB-agar plates supplemented with the appropriate antibiotic. Cells were grown overnight at 32° C. until individual colonies reach the desired size. Single colonies were then picked and individually transferred into 500 μL of liquid LB medium supplemented with the appropriate antibiotic. Cell growth is carried out with shaking for 20 hours at 32° C. The LB cultures were used to inoculate 1 mL in 96 deepwell microplates of auto-induction medium (Studier F W, Prat. Exp. Pur. 41, (2005), 207-234) supplemented with the appropriate antibiotic and grown in a shaking incubator set at 700 rpm and 85% humidity for 24 h at 32° C. in order to produce the two recombinant enzymes. The cell pellet containing these two overexpressed recombinant enzymes is then resuspended in 400 μL of minimum medium (pH 7.5, Phosphate 100 mM, Glucose 10 g·L⁻¹, MgSO₄ 1 mM) supplemented with 10 mM 3MC and incubated for a further 2 or 4 hours in a shaking incubator at 36° C., 700 rpm. During this step, the Ferulic acid decarboxylase 1 variants catalyse the decarboxylation of 3MC into IBN. After 5 min inactivation at 80° C., the IBN produced is quantified by gas chromatography as described in the following. 100 μL of headspace gases from each enzymatic reaction are injected in a Brucker GC-450 system equipped with a Flame Ionization Detector (FID). Compounds present in samples were separated by chromatography using a RTX-1 columns at 100° C. with a 1 mL·min⁻¹ constant flow of nitrogen as carrier gas. Upon injection, peak areas of isobutene were calculated.

The list of improving variants of the Ferulic acid decarboxylase 1 of Cladophialophora psammophila (Uniprot Accession Number W9WWR1, SEQ ID NO: 10) is presented in the following Table 9 and the list of improving variants of the Ferulic acid decarboxylase 1 of Cladophialophora bantiana (Uniprot Accession Number A0A0D2IKD5, SEQ ID NO: 13) is presented in the following Table 10. The increase in activity is described relative to the wild-type enzyme (with “+” representing a low increase in activity and “++” representing a high increase in activity).

The list of mutations involved in the variants of the Cladophialophora psammophila Ferulic acid decarboxylase 1 (Uniprot Accession Number W9WWR1, SEQ ID NO: 10) with increased activity is described in Table 11 and the list of mutations involved in the variants of the Cladophialophora psammophila Ferulic acid decarboxylase 1 (Uniprot Accession Number A0A0D2IKD5, SEQ ID NO: 13) with increased activity is described in Table 12.

TABLE 9 List of Cladophialophora psammophila Ferulic acid decarboxylase 1 variants presenting an increase in isobutene production from 3-methylcrotonic acid. Mutations Activity relative to WT T400M + T400M-Y393F-G394N-Y399F ++ T400M-Y393F ++ T400M-Y393F-G394N ++ T400M-Y393F-Y399F ++ T400M-Y393F-A397V-Y399F ++ T400M-Y393F-A397V ++

TABLE 10 List of Cladophialophora bantiana Ferulic acid decarboxylase 1 variants presenting an increase in isobutene production from 3-methylcrotonic acid. Mutations Activity relative to WT T400M + T400M-Y393F-G394N ++ T400M-Y393F-G394N-Y399F ++ T400M-Y393F-A397V ++ T400M-Y393F ++ T400M-Y393F-Y399F ++ T400M-A14T-Y393F-H395Q ++ T400M-Y393F-G394N-A397V ++ T400M-Y393F-A397V-Y399F ++ T400M-Y393F-G394N-A397V-Y399F ++

TABLE 11 List of mutations involved in the variants of the Cladophialophora psammophila Ferulic acid decarboxylase 1 with increased activity. Wild-Type Sequence Mutant Amino Acid Number Mutation Y393F Y 393 F G394N G 394 N A397V A 397 V Y399F Y 399 F T400M T 400 M

TABLE 12 List of mutations involved in the variants of the Cladophialophora bantiana Ferulic acid decarboxylase 1 with increased activity. Wild-Type Sequence Mutant Amino Acid Number Mutation A14T A 14 T Y393F Y 393 F G394N G 394 N H395Q H 395 Q A397V A 397 V Y399F Y 399 F T400M T 400 M

EXAMPLES—SECOND PART

Material and Methods: Methods Used to Assess Isobutene Production Activities

-   a) Cloning of 3-Methylcrotonic Acid Decarboxylase (3-MDC) Enzymes     -   All the 3-methylcrotonic acid decarboxylase (3-MDC)         polynucleotide sequences were codon-optimized for the expression         in Escherichia coli and subsequently chemically synthesized.         They were then cloned in a pET25 (Novagen) expression vector or         fused with a polynucleotide tag in 5′ coding for a 6-His         purification tag before being cloned in a pET25 expression         vector, resulting in 2 expression vectors for each 3-MDC         sequence. -   b) Construction of 3-Methylcrotonic Acid Decarboxylase (3-MDC)     Mutants     -   The polynucleotide sequences coding for the different mutants         identified during the evolution of the selected 3-MDC enzymes         were generated using a range of standard molecular biology         techniques.     -   Different PCR-based techniques known in the art were used for         the construction of single-point mutants. For the generation of         enzyme variants bearing multiple mutations (at least two         mutations), either PCR-based techniques or other methods known         in the art were used to introduce these mutations.     -   Following mutagenesis, the mutated polynucleotide sequence was         inserted into a pET25 expression vector with or without being         fused to a tag as described above either using standard         ligase-based subcloning techniques, whole plasmid extension by         PCR or ligase-independent cloning techniques. -   c) Screening of 3-Methylcrotonic Acid Decarboxylase (3-MDC) Enzymes     Activity     -   A total of four different screening methods were developed and         used during the evolution of the Streptomyes sp. 769 MDC enzyme. -   c1) In Vivo Assay in 384-Well Microplates Based on Exogenous     3-Methylcrotonic Acid (3MC) (VIVO384)     -   This assay is based on the use of a bacterial strain (BL21(DE3),         Novagen) transformed with two expression vectors leading to the         production of the last two enzymes involved in the metabolic         pathway converting 3MC to isobutene; namely the prenylated FMN         Synthase UbiX protein from E. coli cloned in a pRSFDuet™         (Novagen) expression vector and the respective 3-MDC enzyme         cloned in one of the above expression vectors. This strain is         first plated out onto LB-agar plates supplemented with the         appropriate antibiotic. Cells were grown overnight at 32° C.         until individual colonies reach the desired size. Single         colonies were then picked and individually transferred into 50         μL of liquid LB medium supplemented with the appropriate         antibiotics. Cell growth is carried out with shaking for 20         hours at 32° C. The LB cultures were used to inoculate 300 μL in         384 deep well microplates of auto-induction medium (Studier F W,         Prat. Exp. Pur. 41, (2005), 207-234) supplemented with the         appropriate antibiotics and grown in a shaking incubator set at         700 rpm and 85% humidity for 24 h at 32° C. in order to produce         the two types of recombinant enzymes. The cell pellet containing         these two overexpressed recombinant enzymes is then resuspended         in 40 μL of minimum medium (pH 7.5, Phosphate 100 mM, Glucose 10         g·L⁻¹, MgSO₄ 1 mM) supplemented with 3, 10 or 30 mM 3MC and         incubated for a further 2 or 4 hours in a shaking incubator at         36° C., 700 rpm. During this step, the 3-MDC enzyme catalyzes         the decarboxylation of 3MC into IBN. After 5 min inactivation at         80° C., the IBN produced is quantified by gas chromatography as         followed. 100 μL of headspace gases from each enzymatic reaction         are injected in a Brucker GC-450 system equipped with a Flame         Ionization Detector (FID). Compounds present in samples were         separated by chromatography using a RTX-1 columns at 100° C.         with a 1 mL·min⁻¹ constant flow of nitrogen as carrier gas. Upon         injection, peak areas of isobutene were calculated. -   c2) In vivo assay in 96-well microplates based on exogenous     3-methylcrotonic acid (3MC) (VIVO96)     -   This assay is based on the use of a bacterial strain (BL21(DE3),         Novagen) transformed with two expression vectors leading to the         production of the last two enzymes involved in the metabolic         pathway converting 3MC to isobutene; namely the prenylated FMN         Synthase UbiX protein from E. coli cloned in a pRSFDuet™         (Novagen) expression vector and the respective 3-MDC enzyme         cloned in one of the above expression vectors. This strain is         first plated out onto LB-agar plates supplemented with the         appropriate antibiotics. Cells were grown overnight at 32° C.         until individual colonies reach the desired size. Single         colonies were then picked and individually transferred into 50         μL of liquid LB medium supplemented with the appropriate         antibiotics. Cell growth is carried out with shaking for 20         hours at 32° C. The LB cultures were used to inoculate 1 mL in         96 deep well microplates of auto-induction medium (Studier F W,         Prat. Exp. Pur. 41, (2005), 207-234) supplemented with the         appropriate antibiotics and grown in a shaking incubator set at         700 rpm and 85% humidity for 24 h at 32° C. in order to produce         the two types of recombinant enzymes. The cell pellet containing         these two overexpressed recombinant enzymes is then resuspended         in 400 μL of minimum medium (pH 7.5, Phosphate 100 mM, Glucose         10 g·L⁻¹, MgSO₄ 1 mM) supplemented with 3, 10 or 30 mM 3MC and         incubated for a further 2 or 4 hours in a shaking incubator at         36° C., 700 rpm. During this step, the 3-MDC enzyme catalyzes         the decarboxylation of 3MC into IBN. After 5 min inactivation at         80° C., the IBN produced is quantified by gas chromatography as         followed. 100 μL of headspace gases from each enzymatic reaction         are injected in a Brucker GC-450 system equipped with a Flame         Ionization Detector (FID). Compounds present in samples were         separated by chromatography using a RTX-1 columns at 100° C.         with a 1 mL·min⁻¹ constant flow of nitrogen as carrier gas. Upon         injection, peak areas of isobutene were calculated. -   c3) In Vitro Assay in 384-Well Microplates Based on Exogenous     3-Methylcrotonic Acid (3MC) (VITRO384)     -   This assay is based on the use of a bacterial strain (BL21(DE3),         Novagen) transformed with two expression vectors leading to the         production of the last two enzymes involved in the metabolic         pathway converting 3MC to isobutene; namely the prenylated FMN         Synthase UbiX protein from E. coli cloned in a pRSFDuet™         (Novagen) expression vector and the respective 3-MDC enzyme         cloned in one of the above expression vectors. This strain is         first plated out onto LB-agar plates supplemented with the         appropriate antibiotics. Cells were grown overnight at 32° C.         until individual colonies reach the desired size. Single         colonies were then picked and individually transferred into 50         μL of liquid LB medium supplemented with the appropriate         antibiotic. Cell growth is carried out with shaking for 20 hours         at 32° C. The LB cultures were used to inoculate 300 μL in 384         deep well microplates of auto-induction medium (Studier F W,         Prat. Exp. Pur. 41, (2005), 207-234) supplemented with the         appropriate antibiotic and grown in a shaking incubator set at         700 rpm and 85% humidity for 24 h at 32° C. in order to produce         the two types of recombinant enzymes. The cell pellet containing         these two overexpressed recombinant enzymes is then resuspended         in 30 μL of lysis mix (pH 7.5, Phosphate 50 mM, NaCl 20 mM,         MgCl₂ 2 mM, Lysozyme 1 mg/mL, DNAse 0.03 mg/mL) and incubated         for 1 hour in a shaking incubator at 36° C., 700 rpm. The mix is         then supplemented with 10 L of reaction mix (final composition:         pH 7.5, Phosphate 50 mM, NaCl 20 mM, MgCl₂ 2 mM, Lysozyme 0.75         mg/mL, DNAse 0.0225 mg/mL, KCl 100 mM) supplemented with 3, 10         or 30 mM (final) 3MC and incubated for a further 2 or 4 hours in         a shaking incubator at 36° C., 700 rpm. During this step, the         3-MDC enzyme catalyzes the decarboxylation of 3MC into IBN.         After 5 min inactivation at 80° C., the IBN produced is         quantified by gas chromatography as followed. 100 μL of         headspace gases from each enzymatic reaction are injected in a         Brucker GC-450 system equipped with a Flame Ionization Detector         (FID). Compounds present in samples were separated by         chromatography using a RTX-1 columns at 100° C. with a 1         mL·min⁻¹ constant flow of nitrogen as carrier gas. Upon         injection, peak areas of isobutene were calculated. -   c4) In Vitro Assay in 96-Well Microplates Based on Exogenous     3-Methylcrotonic Acid (3MC) (VITRO96)     -   This assay is based on the use of a bacterial strain (BL21(DE3),         Novagen) transformed with two expression vectors leading to the         production of the last two enzymes involved in the metabolic         pathway converting 3MC to isobutene; namely the prenylated FMN         Synthase UbiX protein from E. coli cloned in a pRSFDuet™         (Novagen) expression vector and the respective 3-MDC enzyme         cloned in one of the above expression vectors. This strain is         first plated out onto LB-agar plates supplemented with the         appropriate antibiotics. Cells were grown overnight at 32° C.         until individual colonies reach the desired size. Single         colonies were then picked and individually transferred into 50         μL of liquid LB medium supplemented with the appropriate         antibiotic. Cell growth is carried out with shaking for 20 hours         at 32° C. The LB cultures were used to inoculate 1 mL in 96 deep         well microplates of auto-induction medium (Studier F W, Prat.         Exp. Pur. 41, (2005), 207-234) supplemented with the appropriate         antibiotic and grown in a shaking incubator set at 700 rpm and         85% humidity for 24 h at 32° C. in order to produce the two         types of recombinant enzymes. The cell pellet containing these         two overexpressed recombinant enzymes is then resuspended in 150         μL of lysis mix (pH 7.5, Phosphate 50 mM, NaCl 20 mM, MgCl₂ 2         mM, Lysozyme 1 mg/mL, DNAse 0.03 mg/mL) and incubated for 1 hour         in a shaking incubator at 36° C., 700 rpm. The mix is then         supplemented with 50 μL of reaction mix (final composition: pH         7.5, Phosphate 50 mM, NaCl 20 mM, MgCl₂ 2 mM, Lysozyme 0.75         mg/mL, DNAse 0.0225 mg/mL, KCl 100 mM) supplemented with 3, 10         or 30 mM (final) 3MC and incubated for a further 2 or 4 hours in         a shaking incubator at 36° C., 700 rpm. During this step, the         3-MDC enzyme catalyzes the decarboxylation of 3MC into IBN.         After 5 min inactivation at 80° C., the IBN produced is         quantified by gas chromatography as followed. 100 μL of         headspace gases from each enzymatic reaction are injected in a         Brucker GC-450 system equipped with a Flame Ionization Detector         (FID). Compounds present in samples were separated by         chromatography using a RTX-1 columns at 100° C. with a 1         mL·min⁻¹ constant flow of nitrogen as carrier gas. Upon         injection, peak areas of isobutene were calculated.

Example 1: Identification of a Streptomyces sp. 769 UbiD-Like Decarboxylase Enzyme Presenting an Activity for the Reaction of Conversion of 3-Methylcrotonic Acid (3MC) into Isobutene (IBN)

We tested a UbiD-like decarboxylase enzyme from Streptomyces sp. 769 (UniProt ID A0A0A8EV26, gene GZL_07100, herein called Ss5; SEQ ID NO:14) for its capacity to catalyze the reaction of conversion of 3MC into IBN. The gene was codon-optimized for expression in Escherichia Coli, synthesized, fused to a 6-His-tag or not fused to a 6-His-tag, and then subcloned into a pET25 expression vector, as described above. The expression vectors were then screened for the production of isobutene (IBN) from 3-methylcrotonic acid (3MC) in microplate 96 and 384-wells, using both an in vivo and an in vitro assay, as described above. An 3-methylcrotonic acid decarboxylase (3-MDC) enzyme from Hypocrea atroviridis (herein called Ha, Uniprot Accession Number G9NLP8) described above in the context of the first, second and third aspect of the present invention and previously described in WO2017085167 (see Example 8, Table G; example 12 Table J therein) and in WO2017191239 (SEQ ID NO:1 therein) was added as a control (FIG. 4 and FIG. 5).

Example 2: Identification of Variants of a 3-Methylcrotonic Acid Decarboxylase (3-MDC) Enzyme from Streptomyces sp. 769 with Increased Activity for the Reaction of Conversion of 3-Methylcrotonic Acid (3MC) into Isobutene (IBN)

The above 3-methylcrotonic acid decarboxylase (3-MDC) gene presenting a capacity to catalyze the reaction of conversion of 3MC into IBN (UniProt ID A0A0A8EV26, gene GZL_07100 from Streptomyces sp. 769) was submitted to directed mutagenesis in order to create single point mutations or multiple mutations variants. Each of these variants was subsequently tested for their increased activity to convert 3MC into IBN, using one or more of the previously described assays. 230 variants presented an increased capacity in converting 3MC into IBN.

The list of improved variants is presented in the following Table 13. The increase in activity is described relative to the wild-type enzyme (with “+” representing a low increase in activity and “+++” representing a high increase in activity).

The list of mutations involved in the variants of the Streptomyces sp. 769 3-MethylCrotonate Decarboxylase with increased activity is described in Table 14.

TABLE 13 List of Streptomyces sp. 769 3-MethylCrotonate Decarboxylase variants presenting an increase in isobutene production from 3-methylcrotonic acid. Mutants Activity relative to WT A241D + A241N + A241V + A359C + C404F + C404L + L448F + L448W + L448Y + P406A + R390S-L448W + R390S-L448Y + A241D-C404F ++ A241D-C404F-L448F ++ A241D-C404F-L448Y ++ A241D-C404F-P406A ++ A241D-C404F-P406A-L448F ++ A241D-C404F-P406A-L448Y ++ A241D-C404L ++ A241D-C404L-L448F ++ A241D-C404L-L448W ++ A241D-C404L-L448Y ++ A241D-C404L-P406A ++ A241D-C404L-P406A-L448F ++ A241D-C404L-P406A-L448Y ++ A241D-L448F ++ A241D-L448W ++ A241D-L448Y ++ A241D-P406A ++ A241D-P406A-L448F ++ A241D-P406A-L448Y ++ A241N-C404F ++ A241N-C404F-L448F ++ A241N-C404F-L448W ++ A241N-C404F-L448Y ++ A241N-C404F-P406A ++ A241N-C404F-P406A-L448F ++ A241N-C404F-P406A-L448Y ++ A241N-C404L ++ A241N-C404L-L448F ++ A241N-C404L-L448W ++ A241N-C404L-L448Y ++ A241N-C404L-P406A ++ A241N-C404L-P406A-L448F ++ A241N-C404L-P406A-L448Y ++ A241N-L448F ++ A241N-L448W ++ A241N-L448Y ++ A241N-P406A ++ A241N-P406A-L448F ++ A241N-P406A-L448W ++ A241N-P406A-L448Y ++ C404F-L446I-L448W ++ C404F-L448F ++ C404F-L448W ++ C404F-L448Y ++ C404F-P406A ++ C404F-P406A-L448F ++ C404F-P406A-L448W ++ C404F-P406A-L448Y ++ C404L-L448F ++ C404L-L448W ++ C404L-L448Y ++ C404L-P406A ++ C404L-P406A-L448F ++ C404L-P406A-L448Y ++ C404M-L446I-L448W ++ C404M-L448F ++ C404M-L448W ++ P406A-L448F ++ P406A-L448W ++ P406A-L448Y ++ V240I-C404M-L448F ++ C404M-L446N-L448W ++ C404M-P406A-L446I-L448W ++ C404M-P406S-L446I-L448W ++ S403R-C404M-L446I-L448W ++ C404M-L446I-L448W-T450A ++ C404M-L446I-L448W-T450H ++ C404M-L446I-L448W-T450M ++ C404M-L446I-L448W-T450N ++ C404M-L446I-L448W-T450S ++ C404M-P406A-L446N-L448W ++ C404M-P406A-L448W ++ C404M-P406A-L446I-L448W-T450A ++ C404M-P406S-L446N-L448W ++ C404M-P406S-L448W ++ C404M-P406S-L446I-L448W-T450A ++ C404M-P406S-L446I-L448W-T450H ++ C404M-L446N-L448W-T450A ++ C404M-L446N-L448W-T450H ++ C404M-L448W-T450A ++ C404M-L448W-T450H ++ C404M-P406A-L446N-L448W-T450A ++ C404M-P406A-L448W-T450A ++ C404M-P406A-L446N-L448W-T450H ++ C404M-P406S-L446N-L448W-T450A ++ C404M-P406S-L448W-T450A ++ C404M-P406S-L446N-L448W-T450H ++ C404M-P406A-L446I-L448W-T450H +++ C404M-P406A-L448W-T450H +++ C404M-P406S-L448W-T450H +++ A241D-C404F-L446I-L448W +++ A241D-C404F-L448W +++ A241D-C404F-P406A-L448W +++ A241D-C404F-P406S-L448W +++ A241D-C404L-P406A-G443D-L448W +++ A241D-C404L-P406A-L446V-L448W +++ A241D-C404L-P406A-L446V-L448W-T450M +++ A241D-C404L-P406A-L448W +++ A241D-C404L-P406A-L448W-T450M +++ A241D-C404M-L448W +++ A241D-C404M-P406A-L448W +++ A241D-F401Y-C404F-L446I-L448W +++ A241D-F401Y-C404F-L448W +++ A241D-F401Y-C404F-P406A-L448W +++ A241D-F401Y-C404M-L448W +++ A241D-F401Y-C404M-P406A-L448W +++ A241D-F401Y-L448W +++ A241D-F401Y-S403G-C404F-L446I-L448W +++ A241D-F401Y-S403G-C404F-L448W +++ A241D-F401Y-S403G-C404M-L448W +++ A241D-F401Y-S403P-C404F-L446I-L448W +++ A241D-F401Y-S403P-C404F-L448W +++ A241D-F401Y-S403P-C404M-P406A-L448W +++ A241D-G402A-C404L-P406A-L446V-L448W +++ A241D-G402A-C404L-P406A-L446V-L448W-T450M +++ A241D-G402A-C404L-P406A-L448W +++ A241D-G402A-C404L-P406A-L448W-T450M +++ A241D-G402A-S403C-C404L-P406A-L446V-L448W +++ A241D-G402A-S403C-C404L-P406A-L446V-L448W-T450M +++ A241D-G402A-S403C-C404L-P406A-L448W +++ A241D-G402A-S403C-C404L-P406A-L448W-T450M +++ A241D-G402A-S403V-C404L-P406A-L446V-L448W +++ A241D-G402A-S403V-C404L-P406A-L446V-L448W-T450M +++ A241D-G402A-S403V-C404L-P406A-L448W +++ A241D-G402A-S403V-C404L-P406A-L448W-T450M +++ A241D-P406A-L448W +++ A241D-P444E-L448W +++ A241D-S403C-C404L-P406A-L446V-L448W +++ A241D-S403C-C404L-P406A-L446V-L448W-T450M +++ A241D-S403C-C404L-P406A-L448W +++ A241D-S403C-C404L-P406A-L448W-T450M +++ A241D-S403G-C404F-L446I-L448W +++ A241D-S403G-C404F-L448W +++ A241D-S403G-C404F-P406A-L448W +++ A241D-S403G-C404M-P406A-L448W +++ A241D-S403G-L448W +++ A241D-S403P-C404F-L446I-L448W +++ A241D-S403P-C404F-L448W +++ A241D-S403P-C404F-P406A-L448W +++ A241D-S403P-C404M-L448W +++ A241D-S403P-C404M-P406A-L448W +++ A241D-S403P-L448W +++ A241D-S403V-C404L-P406A-L446V-L448W +++ A241D-S403V-C404L-P406A-L446V-L448W-T450M +++ A241D-S403V-C404L-P406A-L448W +++ A241D-S403V-C404L-P406A-L448W-T450M +++ A241N-C404F-L405H-P406A-L448W +++ A241N-C404F-P406A-L448W +++ A241N-C404L-P406A-L446C-L448W +++ A241N-C404L-P406A-L446V-L448W +++ A241N-C404L-P406A-L448W +++ A241N-C404L-P406A-L448W-L449I +++ A241N-C404L-P406A-L448W-T450M +++ A241N-C404L-P406A-L448W-T450Q +++ A241N-C404M-L448W +++ A241N-C404M-P406A-L448W +++ A241N-F401Y-L448W +++ A241N-L446V-L448W +++ A241N-S403C-C404L-P406A-L448W +++ A241N-S403G-L448W +++ A241N-S403N-C404L-P406A-L448W +++ A241N-S403P-L448W +++ A241N-S403V-C404L-P406A-L448W +++ C404L-P406A-L446F-L448W +++ C404L-P406A-L446S-L448W +++ C404L-P406A-L446V-L448W +++ C404L-P406A-L448W +++ C404L-P406A-L448W-T450M +++ C404L-P406A-P444H-L448W +++ P85L-A241N-C404M-L448W-T450M +++ S403V-C404L-P406A-L448W +++ A241D-S403C-C404L-P406A-G443D-L448W +++ A241D-S403C-C404L-P406A-G443H-L448W +++ A241D-S403C-C404L-P406A-G443N-L448W +++ A241D-S403C-C404L-P406A-L448W-L449I +++ A241D-S403C-C404L-P406A-P444A-L448W +++ A241D-S403C-C404L-P406A-P444H-L448W +++ A241D-S403C-C404L-P406A-P444L-L448W +++ A241D-G402A-S403C-C404L-P406A-G443H-L448W +++ A241D-G402A-S403C-C404L-P406A-G443S-L448W +++ A241D-G402A-S403C-C404L-P406A-L446M-L448W +++ A241D-G402A-S403C-C404L-P406A-P444F-L448W +++ A241D-G402A-S403C-C404L-P406A-P444H-L448W +++ A241D-S403H-C404L-P406A-L448W-T450M +++ A241D-S403C-C404L-P406A-G443A-L448W-T450M +++ A241D-S403C-C404L-P406A-G443F-L448W-T450M +++ A241D-S403C-C404L-P406A-G443Y-L448W-T450M +++ A241D-S403C-C404L-P406A-P444A-L448W-T450M +++ A241D-S403C-C404L-P406A-P444F-L448W-T450M +++ A241D-S403C-C404L-P406A-P444T-L448W-T450M +++ A241D-S403V-C404L-P406A-G443D-L446V-L448W +++ A241D-S403V-C404L-P406A-G443D-L448W +++ A241D-S403V-C404L-P406A-G443A-L448W-T450M +++ A241D-S403V-C404L-P406A-G443D-L448W-T450M +++ A241D-S403V-C404L-P406A-G443F-L448W-T450M +++ A241D-S403V-C404L-P406A-G443N-L448W-T450M +++ A241D-S403V-C404L-P406A-G443S-L448W-T450M +++ A241D-S403V-C404L-P406A-V445L-L448W-T450M +++ A241D-C404L-P406A-G443F-L446V-L448W-T450M +++ A241D-C404L-P406A-L446V-L448W-T450A +++ A241D-S403C-C404L-P406A-G443A-L446V-L448W-T450M +++ A241D-S403C-C404L-P406A-G443S-L446V-L448W-T450M +++ A241D-S403C-C404L-P406A-G443W-L446V-L448W-T450M +++ A241D-S403C-C404L-P406A-G443Y-L446V-L448W-T450M +++ H198Q-A241D-S403C-C404L-P406A-G443F-L446V-L448W-T450M +++ A241D-S403C-C404L-P406A-P444H-L446V-L448W-T450M +++ A241D-S403C-C404L-P406A-V408I-L446V-L448W-T450M +++ A241D-S403C-C404L-P406A-L446M-L448W-T450M +++ A241D-S403V-C404L-P406A-G443D-L446V-L448W-T450M +++ A241D-S403V-C404L-P406A-G443F-L446V-L448W-T450M +++ A241D-S403V-C404L-P406A-G443Y-L446V-L448W-T450M +++ A241D-S403V-C404L-P406A-L446V-L448W-T450H +++ A241D-S403A-C404L-P406A-L446V-L448W-T450M +++ A241D-S403G-C404L-P406A-L446V-L448W-T450M +++ A241D-S403V-C404L-P406A-V408I-L446V-L448W-T450M +++ A241D-S403V-C404L-P406A-L446A-L448W-T450M +++ A241D-S403V-C404L-P406A-L446M-L448W-T450M +++ C404M-P406A-G443W-L446I-L448W-T450H +++ C404M-P406A-G443Y-L446I-L448W-T450H +++ C404M-L405I-P406A-L446I-L448W-T450H +++ M197V-C404M-P406A-L446I-L448W-T450H +++ C404M-P406A-Q407K-L446I-L448W-T450H +++ S403C-C404M-P406A-L446I-L448W-T450H +++ S403P-C404M-P406A-L446I-L448W-T450H +++ C404M-L405I-P406A-L448W-T450H +++ M197V-S403C-C404M-L405I-P406A-G443Y-L448W-T450H +++ S403C-C404M-P406A-L448W-T450H +++ M197V-S403C-C404M-L405I-P406A-L448W-T450H +++ M197V-C404M-L405I-P406A-L446I-L448W-T450H +++ M197V-C404M-P406A-L448W-T450H +++ S403C-C404M-L405I-P406A-L448W-T450H +++ C404M-L405I-P406A-G443Y-L446I-L448W-T450H +++ M197V-C404M-L405I-P406A-L448W-T450H +++ M197V-S403C-C404M-P406A-L446I-L448W-T450H +++ S403C-C404M-L405I-P406A-G443Y-L448W-T450H +++ C404M-P406A-G443Y-L448W-T450H +++ S403C-C404M-P406A-G443Y-L446I-L448W-T450H +++ S403C-C404M-P406A-G443Y-L448W-T450H +++ S403C-C404M-L405I-P406A-L446I-L448W-T450H +++ M197V-C404M-L405I-P406A-G443Y-L446I-L448W-T450H +++ S403C-C404M-L405I-P406A-G443Y-L446I-L448W-T450H +++ C404M-L405I-P406A-G443Y-L448W-T450H +++ M197V-S403C-C404M-L405I-P406A-L446I-L448W-T450H +++ M197V-C404M-P406A-G443Y-L446I-L448W-T450H +++ M197V-S403C-C404M-L405I-P406A-G443Y-L446I-L448W-T450H +++ M197V-S403C-C404M-P406A-G443Y-L446I-L448W-T450H +++ A241D-S403C-C404L-P406A-G443D-L448W-L449I +++ A241D-S403C-C404L-P406A-P444H-L446M-L448W-T450M +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I +++ A241D-S403C-C404L-P406A-G443D-P444A-L448W +++ A241D-S403C-C404L-P406A-G443Y-P444H-L446M-L448W-T450M +++ A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M +++ A241D-S403C-C404L-P406A-G443Y-L446M-L448W-T450M +++ A25E-A241D-S403C-C404L-P406A-L448W +++ A66H-A241D-S403C-C404L-P406A-L448W +++ A80S-A241D-S403C-C404L-P406A-L448W +++ E24A-A241D-S403C-C404L-P406A-L448W +++ E24D-A241D-S403C-C404L-P406A-L448W +++ E24L-A241D-S403C-C404L-P406A-L448W +++ E24V-A241D-S403C-C404L-P406A-L448W +++ G237D-A241D-S403C-C404L-P406A-L448W +++ G237P-A241D-S403C-C404L-P406A-L448W +++ A241D-S403C-C404L-P406A-G443A-L448W +++ I236L-A241D-S403C-C404L-P406A-L448W +++ I236V-A241D-S403C-C404L-P406A-L448W +++ A241D-I296Q-S403C-C404L-P406A-L448W +++ K214T-A241D-S403C-C404L-P406A-L448W +++ N64H-A241D-S403C-C404L-P406A-L448W +++ A241D-S403C-C404L-P406A-L448W-P479C +++ A241D-S403C-C404L-P406A-L448W-P479I +++ A241D-S403C-C404L-P406A-L448W-P479L +++ A241D-S403C-C404L-P406A-L448W-P479M +++ A241D-S403C-C404L-P406A-L448W-P479S +++ A241D-S403C-C404L-P406A-L448W-P479T +++ A241D-S403C-C404L-P406A-L448W-P479V +++ A241D-S403C-C404L-P406A-L448W-R496L +++ S175E-A241D-S403C-C404L-P406A-L448W +++ A241D-S403C-C404L-P406A-L448W-A473S +++ S86N-A241D-S403C-C404L-P406A-L448W +++ S86Y-A241D-S403C-C404L-P406A-L448W +++ V240N-A241D-S403C-C404L-P406A-L448W +++ V240N-A241D-S403C-C404L-P406A-L448W-P479V +++ A66H-K214T-G237P-A241D-S403C-C404L-P406A-L448W +++ K214T-G237P-A241D-I296Q-S403C-C404L-P406A-L448W +++ K214T-G237P-A241D-I296Q-S403C-C404L-P406A-L448W-P479V +++ K214T-A241D-S403C-C404L-P406A-L448W-R496L +++ V240N-A241D-S403C-C404L-P406A-L448W-R496L +++ K214T-G237P-V240N-A241D-I296Q-S403C-C404L-P406A-L448W +++ A66H-A241D-S403C-C404L-P406A-L448W-P479V +++ A66H-K214T-G237P-V240N-A241D-S403C-C404L-P406A-L448W- +++ P479V A66H-K214T-A241D-S403C-C404L-P406A-L448W-P479V +++ G237P-A241D-I296Q-S403C-C404L-P406A-L448W-P479V +++ A66H-K214T-G237P-A241D-S403C-C404L-P406A-L448W-P479V +++ A241D-I296Q-S403C-C404L-P406A-L448W-P479V +++ A66H-K214T-A241D-I296Q-S403C-C404L-P406A-L448W +++ K214T-A241D-S403C-C404L-P406A-G443N-L448W +++ A66H-A241D-I296Q-S403C-C404L-P406A-L448W +++ K214T-A241D-I296Q-S403C-C404L-P406A-L448W +++ G237P-A241D-S403C-C404L-P406A-L448W-P479V +++ A66H-K214T-A241D-I296Q-S403C-C404L-P406A-L448W-P479V +++ A66H-G237P-V240N-A241D-S403C-C404L-P406A-L448W-P479V +++ A66H-G237P-A241D-S403C-C404L-P406A-L448W-P479V +++ K214T-A241D-I296Q-S403C-C404L-P406A-L448W-P479V +++ A66H-A241D-I296Q-S403C-C404L-P406A-L448W-P479V +++ K214T-A241D-S403C-C404L-P406A-G443F-L448W-T450M +++ K214T-G237P-A241D-S403C-C404L-P406A-L448W-P479V +++ M197V-A241D-S403C-C404L-P406A-G443F-L448W-T450M +++ A241D-S403C-C404L-P406A-V408C-G443F-L448W-T450M +++ A241D-S403C-C404L-P406A-V408L-G443F-L448W-T450M +++ A241D-S403C-C404L-P406A-G443F-V445L-L448W-T450M +++ A241D-S403C-C404L-P406A-G443F-V445S-L448W-T450M +++ A241D-S403C-C404L-P406A-G443F-V445T-L448W-T450M +++ A241D-S403C-C404L-P406A-G443D-V445T-L448W +++ M197V-A241D-S403C-C404L-P406A-G443D-P444A-L448W +++ A241D-S403C-C404L-L405I-P406A-G443D-L448W-L449I +++ M197V-A241D-S403C-C404L-P406A-G443D-L448W-L449I +++ A241D-S403C-C404L-P406A-G443D-V445L-L448W-L449I +++ A241D-S403C-C404L-P406A-G443A-P444H-L448W-L449I +++ A241D-S403C-C404L-P406A-G443F-P444H-L448W-L449I +++ A241D-S403C-C404L-P406A-G443L-P444H-L448W-L449I +++ A241D-S403C-C404L-P406A-G443S-P444H-L448W-L449I +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449V +++ M197V-A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I +++ A241D-C404L-L405M-P406A-G443F-L446V-L448W-L449M-T450M +++ A241D-S403Q-C404L-P406A-G443F-L446V-L448W-T450M +++ A241D-S403C-C404L-P444H-L448W-T450M +++ A241D-S403C-C404L-P406S-P444H-L448W-T450M +++ L195I-A241D-S403C-C404L-P406A-P444H-L448W-T450M +++ M197V-A241D-S403C-C404L-P406A-P444H-L448W-T450M +++ A241D-S403C-C404L-P406A-Q407R-P444H-L448W-T450M +++ A241D-S403C-C404L-P406A-Q407S-P444H-L448W-T450M +++ A241D-S403C-C404L-P406A-V408I-P444H-L448W-T450M +++ L195I-A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W- +++ T450M M197V-A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W- +++ T450M A241D-S403C-C404L-P406A-V408I-P444H-V445C-L446M-L448W- +++ T450M M197V-A241D-S403C-C404L-P406A-G443Y-P444H-L446M-L448W- +++ T450M M197V-A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449V +++ M197V-A241D-S403C-C404L-P406A-G443S-P444H-L448W-L449I +++ A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I +++ M197V-S403C-C404M-P406A-G443Y-L446I-L448W-T450H-Q455H +++ S403A-C404M-P406A-G443Y-L446I-L448W-T450H +++ S403I-C404M-P406A-G443Y-L446I-L448W-T450H +++ S403Q-C404M-P406A-G443Y-L446I-L448W-T450H +++ S403V-C404M-P406A-G443Y-L446I-L448W-T450H +++ S403C-C404M-P406G-G443Y-L446I-L448W-T450H +++ S403C-C404M-P406A-D442A-G443Y-L446I-L448W-T450H +++ S403C-C404M-P406A-D442E-G443Y-L446I-L448W-T450H +++ S403C-C404M-P406A-D442G-G443Y-L446I-L448W-T450H +++ S403C-C404M-P406A-D442S-G443Y-L446I-L448W-T450H +++ S403C-C404M-P406A-G443Y-P444H-L446I-L448W-T450H +++ S403C-C404M-P406A-G443Y-V445A-L446I-L448W-T450H +++ S403C-C404M-P406A-G443Y-V445C-L446I-L448W-T450H +++ S403C-C404M-P406A-G443Y-V445L-L446I-L448W-T450H +++ S403C-C404M-P406A-G443Y-L446I-L448W-T450H-C451N +++ S403C-C404M-P406A-G443Y-L446I-L448W-T450H-C451S +++ V196I-M197V-S403C-C404M-P406A-G443Y-L446I-L448W +++ M197V-S403C-C404M-P406G-G443Y-L446I-L448W +++ M197V-S403C-C404M-P406S-G443Y-L446I-L448W +++ M197V-S403C-C404M-P406A-D442A-G443Y-L446I-L448W +++ M197V-S403C-C404M-P406A-D442C-G443Y-L446I-L448W +++ M197V-S403C-C404M-P406A-D442G-G443Y-L446I-L448W +++ M197V-S403C-C404M-P406A-D442H-G443Y-L446I-L448W +++ S403C-C404M-P406A-D442H-G443Y-L446I-L448W +++ M197V-S403C-C404M-P406A-D442N-G443Y-L446I-L448W +++ M197V-S403C-C404M-P406A-D442S-G443Y-L446I-L448W +++ M197V-S403C-C404M-P406A-G443Y-V445S-L446I-L448W +++ M197V-S403C-C404M-P406A-G443Y-V445T-L446I-L448W +++ S403C-C404M-P406A-D442A-G443Y-V445L-L446I-L448W-T450H +++ M197V-S403C-C404M-P406A-D442A-G443Y-L446I-L448W-T450H +++ M197V-S403C-C404M-P406A-D442Q-G443Y-L446I-L448W-T450H +++ M197V-S403C-C404M-P406A-D442N-G443Y-L446I-L448W-T450H +++ M197V-S403C-C404M-P406A-D442S-G443Y-L446I-L448W-T450H +++ A241D-S403C-C404L-P406A-E441R-G443D-P444H-L448W-L449I +++ A241D-S403C-C404L-P406A-D442L-G443D-P444H-L448W-L449I +++ A241D-S403C-C404L-P406A-D442R-G443D-P444H-L448W-L449I +++ A241D-S403C-C404L-P406A-D442M-G443D-P444H-L448W-L449I +++ A241D-S403C-C404L-P406A-D442A-G443D-P444H-L448W-L449I +++ A241D-S403C-C404L-P406A-D442S-G443D-P444H-L448W-L449I +++ A241D-S403C-C404L-P406A-D442G-G443D-P444H-L448W-L449I +++ A241D-S403C-C404L-P406A-G443D-P444H-V445T-L448W-L449I +++ A241D-S403C-C404L-P406A-Q407C-G443D-P444H-L448W-L449I +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454A +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454W +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454V +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454M +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454H +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454T +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454G +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454K +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454Q +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454L +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-A459Y +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-A459N +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-A460N +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-A460L +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-A460M +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-A460R +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-R461V +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-R461S +++ E154D-A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W- +++ L449I A241D-L302R-E339H-S403C-C404L-P406A-G443D-P444H-L448W- +++ L449I A241D-E339H-A363G-S403C-C404L-P406A-G443D-P444H-L448W- +++ L449I A241D-E339H-R390D-S403C-C404L-P406A-G443D-P444H-L448W- +++ L449I A241D-E339H-R390L-S403C-C404L-P406A-G443D-P444H-L448W- +++ L449I A241D-E339H-R390N-S403C-C404L-P406A-G443D-P444H-L448W- +++ L449I A241D-E339H-R390Q-S403C-C404L-P406A-G443D-P444H-L448W- +++ L449I A241D-E339H-R391D-S403C-C404L-P406A-G443D-P444H-L448W- +++ L449I A241D-E339H-R391W-S403C-C404L-P406A-G443D-P444H-L448W- +++ L449I A241D-E339H-E394Q-S403C-C404L-P406A-G443D-P444H-L448W- +++ L449I V3M-A241D-E339H-E394T-S403C-C404L-P406A-G443D-P444H- +++ L448W-L449I A241D-E339H-G398R-S403C-C404L-P406A-G443D-P444H-L448W- +++ L449I A129V-A241D-E339H-G398C-S403C-C404L-P406A-G443D-P444H- +++ L448W-L449I A241D-E339H-S403C-C404L-P406A-V408L-G443D-P444H-L448W- +++ L449I A241D-E339H-S403C-C404L-P406A-V408M-G443D-P444H-L448W- +++ L449I A241D-E339H-S403C-C404L-P406A-E441S-G443D-P444H-L448W- +++ L449I A241D-E339H-S403C-C404L-P406A-D442H-G443D-P444H-L448W- +++ L449I A241D-E339H-S403C-C404L-P406A-D442R-G443D-P444H-L448W- +++ L449I I168V-A241D-E339H-S403C-C404L-P406A-G443D-P444H-V445L- +++ L448W-L449I A241D-E339H-S403C-C404L-P406A-G443D-P444H-L446M-L448W- +++ L449I A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I- +++ Y452F A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I- +++ T453L A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I- +++ P454H A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I- +++ P454K A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I- +++ P454R A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I- +++ P454S A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I- +++ P454T A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I- +++ P454W A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I- +++ R461V-P479S A241D-S403C-C404L-P406A-Q407A-G443N-L448W +++ A241D-S403C-C404L-P406A-D442A-G443N-L448W +++ A241D-S403C-C404L-P406A-G443N-L448W-T450H +++ A241D-S403C-C404L-P406A-G443N-L448W-T453R +++ A241D-S403C-C404L-P406A-G443N-L446M-L448W +++ A241D-E339H-S403C-C404L-P406A-E441K-G443D-P444H-L446M- +++ L448W-L449I M197V-G237A-A241D-S403C-C404L-P406A-G443F-L448W-T450M +++ M197V-G237D-A241D-S403C-C404L-P406A-G443F-L448W-T450M +++ M197V-G237N-A241D-S403C-C404L-P406A-G443F-L448W-T450M +++ M197V-G237P-A241D-S403C-C404L-P406A-G443F-L448W-T450M +++ M197V-D238H-A241D-S403C-C404L-P406A-G443F-L448W-T450M +++ M197V-D238R-A241D-S403C-C404L-P406A-G443F-L448W-T450M +++ M197V-D238S-A241D-S403C-C404L-P406A-G443F-L448W-T450M +++ M197V-D238W-A241D-S403C-C404L-P406A-G443F-L448W-T450M +++ M197V-A241D-L302A-S403C-C404L-P406A-G443F-L448W-T450M +++ M197V-A241D-L302K-S403C-C404L-P406A-G443F-L448W-T450M +++ M197V-A241D-L302M-S403C-C404L-P406A-G443F-L448W-T450M +++ M197V-A241D-L302R-S403C-C404L-P406A-G443F-L448W-T450M +++ M197V-A241D-A359V-S403C-C404L-P406A-G443F-L448W-T450M +++ M197V-A241D-G398R-S403C-C404L-P406A-G443F-L448W-T450M +++ M197V-A241D-E394C-S403C-C404L-P406A-G443F-L448W-T450M +++ M197V-A241D-E394D-S403C-C404L-P406A-G443F-L448W-T450M +++ M197V-A241D-V396I-S403C-C404L-P406A-G443F-L448W-T450M +++ V35I-M197V-A241D-S403C-C404L-P406A-Q407I-G443F-L448W- +++ T450M M197V-A241D-S403C-C404L-P406A-V408A-G443F-L448W-T450M +++ Y2N-M197V-A241D-S403C-C404L-P406A-G443F-L448W-T450M +++ M197V-A241D-S403C-C404L-P406A-R439C-G443F-L448W-T450M +++ M197V-A241D-S403C-C404L-P406A-F440L-G443F-L448W-T450M +++ M197V-A241D-S403C-C404L-P406A-G443F-L448W-T450M-A460F +++ M197V-A241D-S403C-C404L-P406A-G443F-L448W-T450M-A460L +++ M197V-A241D-S403C-C404L-P406A-G443F-L448W-T450M-A460R +++ M197V-A241D-S403C-C404L-P406A-G443F-L448W-T450M-P454T +++ M197V-A241D-S403C-C404L-P406A-G443F-L448W-T450M-A462V +++ S403C-C404M-P406G-Q407T-G443Y-L446I-L448W-T450H +++ M5I-M197V-S403C-C404M-P406G-D442N-G443Y-L446I-L448W- +++ T450H M197V-A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449V- +++ A459D A241D-S403C-C404L-P406A-G443D-L448W-L449I-A459G +++ S403C-C404M-P406A-Q407T-G443Y-L446I-L448W-T450H-A459G +++ S403C-C404M-P406A-G443Y-L446I-L448W-T450H-A459G +++ A241D-S403C-C404L-P406A-G443D-L448W-L449I-A459R +++ A241D-S403C-C404L-P406A-G443Y-L448W-T450M-A460E +++ A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M- +++ A460G M197V-A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449V- +++ A460G-A462V A241D-S403C-C404L-P406A-G443Y-L448W-T450M-A460L +++ S403C-C404M-P406A-Q407T-G443Y-L446I-L448W-T450H-A460L +++ A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M- +++ A460Q A241D-S403C-C404L-P406A-G443Y-L448W-T450M-A462C +++ M197V-S403C-C404M-P406A-D442N-G443Y-L446I-L448W-T450H- +++ A462C A241D-S403C-C404L-P406A-G443Y-L448W-T450M-A462V +++ S403C-C404M-P406A-Q407T-G443Y-L446I-L448W-T450H-A462V +++ S403C-C404M-P406A-Q407T-G443Y-L446I-L448W-T450H-P454Q- +++ A462V H198W-S403V-C404M-P406A-Q407T-G443Y-L446I-L448W-T450H +++ L74V-H198W-S403V-C404M-P406A-Q407T-G443Y-L446I-L448W- +++ T450H H198W-S403C-C404M-P406A-D442Q-G443Y-L446I-L448W-T450H +++ A241D-S403C-C404L-P406A-E441G-G443D-L448W-L449I +++ Q208L-A241D-S403C-C404L-P406A-V408I-G443R-P444H-L446M- +++ L448W-T450M A241D-S403C-C404L-P406A-V408I-G443W-P444H-L446M-L448W- +++ T450M A241D-S403C-C404L-P406A-G443D-L448W-L449I-H458G +++ L195V-S403C-C404M-P406A-Q407T-G443Y-L446I-L448W-T450H +++ L195V-S403C-C404M-P406A-G443Y-L446I-L448W-T450H +++ M197V-A241D-S403C-C404L-P406A-G443Y-L448W-T450M +++ M197V-S403C-C404M-P406A-Q407T-G443Y-L446I-L448W-T450H +++ M197V-S403C-C404M-P406A-D442N-G443Y-L446I-L448W-T450H- +++ E456Q S403C-C404F-P406A-Q407T-G443Y-L446I-L448W-T450H +++ S403C-C404M-P406A-Q407T-G443Y-P444F-L446I-L448W-T450H +++ A241D-S403C-C404L-P406A-G443D-L448W-L449I-P454K +++ M197V-A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449V- +++ P454K A241D-S403C-C404L-P406A-G443D-L448W-L449I-P454R +++ M197V-A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449V- +++ P454R A241D-S403C-C404L-P406A-G443D-L448W-L449I-Q455S +++ M197V-S403C-C404M-P406A-D442N-G443Y-L446I-L448W-T450H- +++ Q455V S403C-C404M-P406A-Q407T-G443Y-L446I-L448W-T450H-R457K +++ M197V-S403C-C404M-P406A-D442N-G443Y-L446I-L448W-T450H- +++ R461G A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M- +++ R461S M197V-A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449V- +++ T450H A241D-S403C-C404L-P406A-G443D-L448W-L449I-T450V +++ M197V-A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449V- +++ T450V H36Y-M197V-S403C-C404M-P406A-D442N-G443Y-L446I-L448W- +++ T450H-T453G S403C-C404M-P406A-Q407T-G443Y-L446I-L448W-T450H-T453N +++ H198W-S403C-C404M-P406A-G443Y-L446I-L448W-T450H-T453P +++ A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M- +++ T453R A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M- +++ T453S S403C-C404M-P406A-Q407T-G443Y-V445L-L446I-L448W-T450H +++ S403C-C404M-P406A-Q407T-G443Y-V445S-L446I-L448W-T450H +++ M197V-A241D-S403C-C404L-P406A-G443D-P444H-L448W +++ A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M- +++ Y452F M5I-A241D-S403C-C404L-P406A-G443Y-L448W-T450M +++ M197V-A241D-S403C-C404L-P406A-G443F-L446M-L448W-T450M +++ M197V-S403C-C404L-P406A-D442N-G443Y-L446M-L448W-T450H +++ M197V-S403C-C404L-P406A-D442N-G443Y-L448W-T450M +++ M197V-S403C-C404L-P406A-D442N-G443Y-L448W-T450H +++ S403C-C404L-P406A-Q407T-G443Y-L446M-L448W-T450H +++ S403C-C404L-P406A-Q407T-G443Y-L446F-L448W-T450H +++ S403C-C404L-P406A-Q407T-G443Y-L448W-T450H +++ A241D-E339H-A343S-S403C-C404L-P406A-G443D-P444H-L448W- +++ L449I-P454R A241D-E339H-A350S-S403C-C404L-P406A-G443D-P444H-L446M- +++ L448W-L449I A241D-E339H-A395E-S403C-C404L-P406A-A426V-G443D-P444H- +++ L446M-L448W-L449I A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454R A241D-E339H-S403C-C404L-P406A-D442S-G443D-P444H-L448W- +++ L449I-P454R A241D-E339H-S403C-C404L-P406A-D442T-G443D-P444H-L446M- +++ L448W-L449I A241D-E339H-S403C-C404L-P406A-G443H-P444H-L448W-L449I- +++ P454R A241D-E339H-S403C-C404L-P406A-E441R-G443D-P444H-L448W- +++ L449I-P454R A241D-E339H-I347C-S403C-C404L-P406A-G443D-P444H-L448W- +++ L449I-P454R V3L-A241D-L302Q-E339H-S403C-C404L-P406A-G443D-P444H- +++ L446M-L448W-L449I A241D-E339H-S403C-C404L-L405T-P406A-G443D-P444H-L446M- +++ L448W-L449I M5I-A241D-E339H-S403C-C404L-P406A-G443D-P444H-L446M- +++ L448W-L449I A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I- +++ P454R-Q455A A241D-E339H-S403C-C404L-P406A-G443D-P444H-L448W-L449I- +++ P454R-Q455N A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R- +++ A459E A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R- +++ A459M A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R- +++ A459Q A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R- +++ A459T A241D-S403C-C404L-P406A-G443N-P444H-L448W-L449I-P454R +++ A241D-S403C-C404L-P406A-E441G-G443D-P444H-L448W-L449I- +++ P454R A241D-S403C-C404L-P406A-G443D-P444F-L448W-L449I-P454R +++ A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R- +++ H458F A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-P454R- +++ H458N A241D-I296Q-S403C-C404L-P406A-G443D-P444H-L448W-L449I- +++ P454R A241D-L302A-S403C-C404L-P406A-G443D-P444H-L448W-L449I- +++ P454R A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I-T453S- +++ P454R V1961-A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I- +++ P454R A241D-V305I-S403C-C404L-P406A-G443D-P444H-L448W-L449I- +++ P454R A241D-V305T-S403C-C404L-P406A-G443D-P444H-L448W-L449I- +++ P454R M197V-G237A-A241D-S403C-C404L-P406A-E441G-G443F-L448W- +++ T450M M197V-G237A-A241D-S403C-C404L-P406A-E441H-G443F-L448W- +++ T450M M197V-G237A-A241D-S403C-C404L-P406A-E441T-G443F-L448W- +++ T450M M197V-A241D-S403C-C404L-P406A-F440L-G443F-L446M-L448W- +++ T450M M197V-A241D-H277Y-S403C-C404L-P406A-F440L-G443F-L448W- +++ L449I-T450M M197V-G237A-A241D-S403C-C404L-P406A-G443F-P444H-L448W- +++ T450M M197V-G237A-A241D-S403C-C404L-P406A-G443F-P444I-L448W- +++ T450M M197V-A241D-S403C-C404L-P406A-Q407R-F440L-G443F-L448W- +++ T450M V6M-M197V-D238H-A241D-S403C-C404L-P406A-G443F-L448W- +++ T450M-T453C M197V-D238H-A241D-S403C-C404L-P406A-G443F-L448W-T450M- +++ T453R M197V-D238H-A241D-S403C-C404L-P406A-G443F-L448W-T450M- +++ Y452F A241D-S403C-C404L-P406A-P444H-L446M-L448W-T450M-Y452F +++ A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M- +++ Y452F-Q455H A241D-S403C-C404L-P406A-V408I-P444H-L446M-P447Q-L448W- +++ T450M-A460G A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M- +++ Q455K-R461S A241D-S403C-C404L-P406A-V408I-P444H-L446M-L448W-T450M- +++ Q455V-R461S Q204R-S403C-C404L-P406A-Q407T-G443Y-L446F-L448W-T450H +++ Q204S-S403C-C404L-P406A-Q407T-G443Y-L446F-L448W-T450H +++ L302F-S403C-C404L-P406A-Q407T-G443Y-L446F-L448W-T450H +++ L302S-S403C-C404L-P406A-Q407T-G443Y-L446F-L448W-T450H +++ E349S-S403C-C404L-P406A-Q407T-G443Y-L446F-L448W-T450H +++ A395C-S403C-C404L-P406A-Q407T-G443Y-L446F-L448W-T450H +++ S403C-C404L-P406A-Q407T-E441P-G443Y-L446F-L448W-T450H +++ S403C-C404L-P406A-Q407T-G443A-L446F-L448W-T450H +++ S403C-C404L-P406A-Q407T-G443Y-P444Q-L446F-L448W-T450H +++ S403C-C404L-P406A-Q407T-G443Y-L446F-L448W-T450H-H458L +++ S403C-C404L-P406A-Q407T-G443Y-L446F-L448W-T450H-H458M +++ A241D-E339H-H366F-S403C-C404L-P406A-G443D-P444H-L446M- +++ L448W-L449I A241D-E339H-H366F-S403C-C404L-P406A-G443D-P444H-L446M- +++ L448W A241D-E339H-H366I-S403C-C404L-P406A-G443D-P444H-L446M- +++ L448W-L449I A241D-E339H-L368I-S403C-C404L-P406A-G443D-P444H-L446M- +++ L448W-L449I A241D-E339H-L368M-S403C-C404L-P406A-G443D-P444H-L446M- +++ L448W-L449I A241D-E339H-L368M-S403C-C404L-L405M-P406A-G443D-P444H- +++ L446M-L448W-L449I A241D-E339H-A395V-S403C-C404L-P406A-D442N-G443D-P444H- +++ L448W-L449I-P454R A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454R-A460F A241D-E339H-E349M-S403C-C404L-P406A-D442N-G443D-P444H- +++ L448W-L449I-P454R A241D-E339H-S403C-C404L-P406A-E441H-D442N-G443D-P444H- +++ L448W-L449I-P454R A241D-E339H-S403C-C404L-P406A-E441N-D442N-G443D-P444H- +++ L448W-L449I-P454R A241D-E339H-S403C-C404L-P406A-E441R-D442N-G443D-P444H- +++ L448W-L449I-P454R A126V-A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H- +++ L448W-L449I-P454R A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454R-H458E A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454R-H458G A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454R-H458L A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454R-H458Q A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454R-H458R A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454R-H458S A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454R-H458Y A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449V-P454R A241D-L302C-E339H-S403C-C404L-P406A-D442N-G443D-P444H- +++ L448W-L449I-P454R A241D-E339H-S403C-C404L-L405V-P406A-D442N-G443D-P444H- +++ L448W-L449I-P454R A241D-E339H-S403C-C404L-P406A-Q407R-D442N-G443D-P444H- +++ L448W-L449I-P454R A241D-E339H-S403C-C404L-P406A-Q407S-D442N-G443D-P444H- +++ L448W-L449I-P454R A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454R-Q455E H36Y-A241D-R298S-E339H-S403C-C404L-P406A-D442N-G443D- +++ P444H-L448W-L449I-P454R A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454A A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454D A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454L A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454S A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454R-R461A A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454R-R461L A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454R-R461M A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454R-R461Q A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454R-R461S A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-P454R-R461V A241D-E339H-S403C-C404L-P406A-D442N-G443D-P444H-L448W- +++ L449I-T450S-P454R A241D-S403C-C404L-P406S-G443D-P444H-L448W-L449I +++ M5I-A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I +++ V166D-A241D-S403C-C404L-P406A-G443D-P444H-L448W-L449I- +++ Y452F

TABLE 14 List of the positions modified in the variants of Streptomyces sp. 769 3-MethylCrotonate Decarboxylase with increased activity Wild-Type Position amino Acid Mutations 2 Y N 3 V L, M 5 M I 6 V M 24 E A, D, L, V 25 A E 35 V I 36 H Y 64 N H 66 A H 74 L V 80 A S 85 P L 86 S N, Y 126 A V 129 A V 154 E D 166 V D 168 I V 175 S E 195 L I, V 196 V I 197 M V 198 H Q, W 204 Q R, S 208 Q L 214 K T 236 I L, V 237 G A, D, N, P 238 D H, R, S, W 240 V I, N 241 A D, N, V 277 H Y 296 I Q 298 R S 302 L A, C, F, K, M, Q, R, S 305 V I, T 339 E H 343 A S 347 I C 349 E M, S 350 A S 359 A C, V 363 A G 366 H F, I 368 L I, M 390 R D, L, N, Q, S 391 R D, W 394 E C, D, Q, T 395 A C, E, V 396 V I 398 G C, R 401 F Y 402 G A 403 S A, C, G, H, I, N, P, Q, R, V 404 C F, L, M 405 L H, I, M, T, V 406 P A, G, S 407 Q A, C, I, K, R, S, T 408 V A, C, I, L, M 426 A V 439 R C 440 F L 441 E G, H, K, N, P, R, S, T 442 D A, C, E, G, H, L, M, N, Q, R, S, T 443 G A, D, F, H, L, N, R, S, W, Y 444 P A, E, F, H, I, L, Q, T 445 V A, C, L, S, T 446 L A, C, F, I, M, N, S, V 447 P Q 448 L F, W, Y 449 L I, M, V 450 T A, H, M, N, Q, S, V 451 C N, S 452 Y F 453 T C, G, L, N, P, R, S 454 P A, D, G, H, K, L, M, Q, R, S, T, V, W 455 Q A, E, H, K, N, S, V 456 E Q 457 R K 458 H E, F, G, L, M, N, Q, R, S, Y 459 A D, E, G, M, N, Q, R, T, Y 460 A E, F, G, L, M, N, Q, R 461 R A, G, L, M, Q, S, V 462 A C, V 473 A S 479 P C, I, L, M, S, T, V 496 R L 

The invention claimed is:
 1. A variant of a 3-methylcrotonic acid decarboxylase (MDC) showing an improved activity in converting 3-methylcrotonic acid into isobutene relative to a parent MDC having the amino acid sequence as set forth in SEQ ID NO: 14, wherein said variant comprises an amino acid sequence having at least 63% sequence identity to SEQ ID NO: 14 with a substitution, a deletion or an insertion at a position corresponding to amino acid residue 404 of SEQ ID NO: 14, and wherein said variant optionally further comprises a substitution, a deletion or an insertion at one or more amino acid residues corresponding to position(s) 2, 3, 5, 6, 24, 25, 35, 36, 64, 74, 80, 85, 86, 126, 129, 154, 166, 175, 195, 196, 197, 198, 204, 208, 214, 236, 237, 238, 240, 277, 298, 302, 339, 343, 347, 350, 359, 366, 368, 390, 391, 394, 395, 396, 398, 401, 402, 403, 405, 406, 407, 408, 426, 439, 440, 441, 442, 444, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462 and 473 of SEQ ID NO:
 14. 2. The MDC variant of claim 1, wherein (1) the amino acid residue at position 2 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with asparagine; and/or (2) the amino acid residue at position 3 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with leucine or methionine; and/or (3) the amino acid residue at position 5 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with isoleucine; and/or (4) the amino acid residue at position 6 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with methionine; and/or (5) the amino acid residue at position 24 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with alanine, aspartic acid, leucine or valine; and/or (6) the amino acid residue at position 25 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with glutamic acid; and/or (7) the amino acid residue at position 35 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with isoleucine; and/or (8) the amino acid residue at position 36 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with tyrosine; and/or (9) the amino acid residue at position 64 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with histidine; and/or (10) the amino acid residue at position 74 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with valine; and/or (11) the amino acid residue at position 80 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with serine; and/or (12) the amino acid residue at position 85 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with leucine; and/or (13) the amino acid residue at position 86 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with asparagine or tyrosine; and/or (14) the amino acid residue at position 126 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with valine; and/or (15) the amino acid residue at position 129 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with valine; and/or (16) the amino acid residue at position 154 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with aspartic acid; and/or (17) the amino acid residue at position 166 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with aspartic acid; and/or (18) the amino acid residue at position 175 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with glutamic acid; and/or (19) the amino acid residue at position 195 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with isoleucine or valine; and/or (20) the amino acid residue at position 196 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with isoleucine; and/or (21) the amino acid residue at position 197 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with valine; and/or (22) the amino acid residue at position 198 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with glutamine or tryptophan; and/or (23) the amino acid residue at position 204 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with arginine or serine; and/or (24) the amino acid residue at position 208 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with leucine; and/or (25) the amino acid residue at position 214 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with threonine; and/or (26) the amino acid residue at position 236 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with leucine or valine; and/or (27) the amino acid residue at position 237 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with alanine, aspartic acid, asparagine or proline; and/or (28) the amino acid residue at position 238 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with histidine, arginine, serine or tryptophan; and/or (29) the amino acid residue at position 240 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with isoleucine or asparagine; and/or (30) the amino acid residue at position 277 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with tyrosine; and/or (31) the amino acid residue at position 298 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with serine; and/or (32) the amino acid residue at position 302 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with alanine, cysteine, phenylalanine, lysine, methionine, glutamine, arginine or serine; and/or (33) the amino acid residue at position 339 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with histidine; and/or (34) the amino acid residue at position 343 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with serine; and/or (35) the amino acid residue at position 347 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with cysteine; and/or (36) the amino acid residue at position 350 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with serine; and/or (37) the amino acid residue at position 359 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with cysteine or valine; and/or (38) the amino acid residue at position 366 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with isoleucine or phenylalanine; and/or (39) the amino acid residue at position 368 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with isoleucine or methionine; and/or (40) the amino acid residue at position 390 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with serine, aspartic acid, leucine, asparagine or glutamine; and/or (41) the amino acid residue at position 391 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with aspartic acid or tryptophan; and/or (42) the amino acid residue at position 394 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with cysteine, aspartic acid, glutamine or threonine; and/or (43) the amino acid residue at position 395 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with cysteine, glutamic acid or valine; and/or (44) the amino acid residue at position 396 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with isoleucine; and/or (45) the amino acid residue at position 398 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with cysteine or arginine; and/or (46) the amino acid residue at position 401 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with tyrosine; and/or (47) the amino acid residue at position 402 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with alanine; and/or (48) the amino acid residue at position 403 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with alanine, cysteine, glycine, histidine, isoleucine, asparagine, proline, glutamine, arginine or valine; and/or (49) the amino acid residue at position 404 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with phenylalanine, leucine or methionine; and/or (50) the amino acid residue at position 405 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with histidine, isoleucine, methionine, threonine or valine; and/or (51) the amino acid residue at position 406 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with glycine, alanine or serine; and/or (52) the amino acid residue at position 407 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with alanine, cysteine, isoleucine, lysine, arginine, serine or threonine; and/or (53) the amino acid residue at position 408 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with isoleucine, alanine, cysteine, leucine, or methionine; and/or (54) the amino acid residue at position 426 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with valine; and/or (55) the amino acid residue at position 439 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with cysteine; and/or (56) the amino acid residue at position 440 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with leucine; and/or (57) the amino acid residue at position 441 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with glycine, histidine, lysine, asparagine, proline, arginine, serine or threonine; and/or (58) the amino acid residue at position 442 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with alanine, cysteine, glutamic acid, glycine, histidine, leucine, methionine, asparagine, glutamine, arginine, serine or threonine; and/or (59) the amino acid residue at position 444 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with alanine, glutamic acid, phenylalanine, histidine, isoleucine, leucine, glutamine or threonine; and/or (60) the amino acid residue at position 446 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with alanine, cysteine, phenylalanine, isoleucine, methionine, asparagine, serine or valine; and/or (61) the amino acid residue at position 447 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with glutamine; and/or (62) the amino acid residue at position 448 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with phenylalanine, tryptophan or tyrosine; and/or (63) the amino acid residue at position 449 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with isoleucine, methionine or valine; and/or (64) the amino acid residue at position 450 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with alanine, histidine, methionine, asparagine, glutamine, serine or valine; and/or (65) the amino acid residue at position 451 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with asparagine or serine; and/or (66) the amino acid residue at position 452 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with phenylalanine; and/or (67) the amino acid residue at position 453 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with cysteine, glycine, leucine, asparagine, proline, arginine or serine; and/or (68) the amino acid residue at position 454 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with alanine, aspartic acid, glycine, histidine, lysine, leucine, methionine, glutamine, arginine, serine, threonine, valine or tryptophan; and/or (69) the amino acid residue at position 455 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with alanine, glutamic acid, histidine, lysine, asparagine, serine or valine; and/or (70) the amino acid residue at position 456 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with glutamine; and/or (71) the amino acid residue at position 457 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with lysine; and/or (72) the amino acid residue at position 458 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with glutamic acid, phenylalanine, glycine, leucine, methionine, asparagine, glutamine, arginine, serine or tyrosine; and/or (73) the amino acid residue at position 459 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with aspartic acid, glutamic acid, glycine, methionine, asparagine, glutamine, arginine, threonine or tyrosine; and/or (74) the amino acid residue at position 460 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with glutamic acid, phenylalanine, glycine, leucine, methionine, asparagine, glutamine or arginine; and/or (75) the amino acid residue at position 461 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with alanine, glycine, leucine, methionine, glutamine, serine or valine; and/or (76) the amino acid residue at position 462 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with cysteine or valine; and/or (77) the amino acid residue at position 473 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with serine.
 3. The MDC variant of claim 1, wherein said variant further comprises a substitution, a deletion or an insertion at one or more amino acid residues corresponding to position(s) 66, 168, 241, 296, 305, 349, 363, 443, 445, 479, and 496 of SEQ ID NO:
 14. 4. The MDC variant of claim 3, wherein (78) the amino acid residue at position 66 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with histidine; and/or (79) the amino acid residue at position 168 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with valine; and/or (80) the amino acid residue at position 241 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with aspartic acid, asparagine or valine; and/or (81) the amino acid residue at position 296 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with glutamine; and/or (82) the amino acid residue at position 305 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with isoleucine or threonine; and/or (83) the amino acid residue at position 349 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with methionine or serine; and/or (84) the amino acid residue at position 363 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with glycine; and/or (85) the amino acid residue at position 443 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with alanine, aspartic acid, phenylalanine, histidine, leucine, asparagine, arginine, serine, tryptophan or tyrosine; and/or (86) the amino acid residue at position 445 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with leucine, alanine, cysteine, serine or threonine; and/or (87) the amino acid residue at position 479 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with cysteine, isoleucine, leucine, methionine, serine, threonine or valine; and/or (88) the amino acid residue at position 496 in the amino acid sequence shown in SEQ ID NO:14 or at a position corresponding to this position, is deleted or substituted with leucine.
 5. A method for producing isobutene from 3-methylcrotonic acid by incubating 3-methylcrotonic acid with the MDC variant of claim
 1. 6. The method of claim 5, wherein the enzymatic conversion is carried out in vitro or by a host cell expressing the MDC variant of claim
 1. 7. A composition comprising the MDC variant of claim
 1. 8. A method for producing isobutene from 3-methylcrotonic acid by incubating 3-methylcrotonic acid with the MDC variant of claim
 2. 9. The method of claim 8, wherein the enzymatic conversion is carried out in vitro or by a host cell expressing the MDC variant of claim
 8. 10. A composition comprising the MDC variant of claim
 2. 11. A method for producing isobutene from 3-methylcrotonic acid by incubating 3-methylcrotonic acid with the MDC variant of claim
 2. 12. The method of claim 11, wherein the enzymatic conversion is carried out in vitro or by a host cell expressing the MCD variant of claim
 2. 13. A composition comprising the MDC variant of claim
 3. 14. A method for producing isobutene from 3-methylcrotonic acid by incubating 3-methylcrotonic acid with the MDC variant of claim
 4. 15. The method of claim 14, wherein the enzymatic conversion is carried out in vitro or by a host cell expressing the MDC variant of claim
 4. 16. A composition comprising the MDC variant of claim
 4. 